The EasyAcc 2-in-1 USB 3.0 + 10/100/1000M Ethernet LAN Wired Network Adapter also includes a VIA 3rd Generation VL812 USB 3.0 hub controller additionally to the Realtek RTL8153 USB 3.0-to-Gigabit Ethernet controller.

Tested with Trisquel 7 kernel 4.3.3-gnu

lsusb -v

Bus 003 Device 007: ID 0bda:8153 Realtek Semiconductor Corp. 
Device Descriptor:
  bLength                18
  bDescriptorType         1
  bcdUSB               2.10
  bDeviceClass            0 (Defined at Interface level)
  bDeviceSubClass         0 
  bDeviceProtocol         0 
  bMaxPacketSize0        64
  idVendor           0x0bda Realtek Semiconductor Corp.
  idProduct          0x8153 
  bcdDevice           30.00
  iManufacturer           1 Realtek
  iProduct                2 USB 10/100/1000 LAN
  iSerial                 6 000000000000
  bNumConfigurations      2
  Configuration Descriptor:
    bLength                 9
    bDescriptorType         2
    wTotalLength           39
    bNumInterfaces          1
    bConfigurationValue     1
    iConfiguration          0 
    bmAttributes         0xa0
      (Bus Powered)
      Remote Wakeup
    MaxPower              180mA
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        0
      bAlternateSetting       0
      bNumEndpoints           3
      bInterfaceClass       255 Vendor Specific Class
      bInterfaceSubClass    255 Vendor Specific Subclass
      bInterfaceProtocol      0 
      iInterface              0 
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x81  EP 1 IN
        bmAttributes            2
          Transfer Type            Bulk
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0200  1x 512 bytes
        bInterval               0
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x02  EP 2 OUT
        bmAttributes            2
          Transfer Type            Bulk
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0200  1x 512 bytes
        bInterval               0
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x83  EP 3 IN
        bmAttributes            3
          Transfer Type            Interrupt
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0002  1x 2 bytes
        bInterval               8
  Configuration Descriptor:
    bLength                 9
    bDescriptorType         2
    wTotalLength           80
    bNumInterfaces          2
    bConfigurationValue     2
    iConfiguration          0 
    bmAttributes         0xa0
      (Bus Powered)
      Remote Wakeup
    MaxPower              180mA
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        0
      bAlternateSetting       0
      bNumEndpoints           1
      bInterfaceClass         2 Communications
      bInterfaceSubClass      6 Ethernet Networking
      bInterfaceProtocol      0 
      iInterface              5 CDC Communications Control
      CDC Header:
        bcdCDC               1.10
      CDC Union:
        bMasterInterface        0
        bSlaveInterface         1 
      CDC Ethernet:
        iMacAddress                      3 0023566C4352
        bmEthernetStatistics    0x00000000
        wMaxSegmentSize               1514
        wNumberMCFilters            0x0000
        bNumberPowerFilters              0
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x83  EP 3 IN
        bmAttributes            3
          Transfer Type            Interrupt
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0010  1x 16 bytes
        bInterval               8
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        1
      bAlternateSetting       0
      bNumEndpoints           0
      bInterfaceClass        10 CDC Data
      bInterfaceSubClass      0 Unused
      bInterfaceProtocol      0 
      iInterface              0 
    Interface Descriptor:
      bLength                 9
      bDescriptorType         4
      bInterfaceNumber        1
      bAlternateSetting       1
      bNumEndpoints           2
      bInterfaceClass        10 CDC Data
      bInterfaceSubClass      0 Unused
      bInterfaceProtocol      0 
      iInterface              4 Ethernet Data
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x81  EP 1 IN
        bmAttributes            2
          Transfer Type            Bulk
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0200  1x 512 bytes
        bInterval               0
      Endpoint Descriptor:
        bLength                 7
        bDescriptorType         5
        bEndpointAddress     0x02  EP 2 OUT
        bmAttributes            2
          Transfer Type            Bulk
          Synch Type               None
          Usage Type               Data
        wMaxPacketSize     0x0200  1x 512 bytes
        bInterval               0
Binary Object Store Descriptor:
  bLength                 5
  bDescriptorType        15
  wTotalLength           22
  bNumDeviceCaps          2
  USB 2.0 Extension Device Capability:
    bLength                 7
    bDescriptorType        16
    bDevCapabilityType      2
    bmAttributes   0x00000002
      Link Power Management (LPM) Supported
  SuperSpeed USB Device Capability:
    bLength                10
    bDescriptorType        16
    bDevCapabilityType      3
    bmAttributes         0x02
      Latency Tolerance Messages (LTM) Supported
    wSpeedsSupported   0x000e
      Device can operate at Full Speed (12Mbps)
      Device can operate at High Speed (480Mbps)
      Device can operate at SuperSpeed (5Gbps)
    bFunctionalitySupport   2
      Lowest fully-functional device speed is High Speed (480Mbps)
    bU1DevExitLat          10 micro seconds
    bU2DevExitLat        2047 micro seconds
Device Status:     0x0000
  (Bus Powered)

Dell 59GG DBQBCBCO64: this is USB Type-C adapter that came with Precision 5540 laptop. If you search the model name on the web you'll find it available separately as well. Tested on Parabola with 5.6.5 libre kernel.

dmesg complains about missing non-free software but networking works anyway (tested on 100Mbit/s network).

T:  Bus=04 Lev=01 Prnt=01 Port=00 Cnt=01 Dev#=  2 Spd=5000 MxCh= 0
D:  Ver= 3.00 Cls=00(>ifc ) Sub=00 Prot=00 MxPS= 9 #Cfgs=  2
P:  Vendor=0bda ProdID=8153 Rev=30.00
S:  Manufacturer=Realtek
S:  Product=USB 10/100/1000 LAN
S:  SerialNumber=000001000000
C:  #Ifs= 1 Cfg#= 1 Atr=a0 MxPwr=256mA
I:  If#=0x0 Alt= 0 #EPs= 3 Cls=ff(vend.) Sub=ff Prot=00 Driver=r8152

Bus 004 Device 002: ID 0bda:8153 Realtek Semiconductor Corp. RTL8153 Gigabit Ethernet Adapter

[   76.620766] usb 4-1: new SuperSpeed Gen 1 USB device number 2 using xhci_hcd
[   76.638473] usb 4-1: New USB device found, idVendor=0bda, idProduct=8153, bcdDevice=30.00
[   76.638474] usb 4-1: New USB device strings: Mfr=1, Product=2, SerialNumber=6
[   76.638475] usb 4-1: Product: USB 10/100/1000 LAN
[   76.638476] usb 4-1: Manufacturer: Realtek
[   76.638476] usb 4-1: SerialNumber: 000001000000
[   76.678403] usbcore: registered new interface driver r8152
[   76.695196] usbcore: registered new interface driver cdc_ether
[   76.804643] usb 4-1: reset SuperSpeed Gen 1 USB device number 2 using xhci_hcd
[   76.824592] 4-1:1.0: Missing Free firmware (non-Free firmware loading is disabled)
[   76.824603] r8152 4-1:1.0: unable to load firmware patch /*(DEBLOBBED)*/ (-2)
[   76.824682] r8152 4-1:1.0 (unnamed net_device) (uninitialized): Invalid header when reading pass-thru MAC addr
[   76.857991] r8152 4-1:1.0 eth0: v1.11.11
[   76.869483] r8152 4-1:1.0 ens20u1: renamed from eth0
[   78.471924] IPv6: ADDRCONF(NETDEV_CHANGE): ens20u1: link becomes ready
[   78.472159] r8152 4-1:1.0 ens20u1: carrier on