A): If the network card is not displayed in "Device Manager", a USB port (or a PCIe slot in the event of an internal network card) may be malfunctioning.

B): Try plugging the network card into another USB port (or another PCIe slot on the PC motherboard in the event of an internal network card, or temporarily disconnect all other PCIe cards). The network card should be detected and you should be prompted to install the drivers. If the problem persists, plug the network card into the USB port (PCIe slot) of another computer to verify its functionality.

A): If this happens, it means that the operating system failed to get the necessary information to install the drivers.

B): The cause may be a defective USB extension cable or damaged device. If the problem persists, plug the network card into the USB port of another computer to verify its functionality.

A): Before connecting the USB network card to an Android device (tablet), you first need to verify with the device manufacturer whether the device supports the Ethernet network feature and also whether the USB network card drivers are included in your specific ANDROID ROM installation.

B): Use a USB connector with OTG support to connect the USB network card to your tablet. If the device (tablet) is equipped with a Mini USB or Micro USB connector, use an OTG reduction or cable to connect it.

A): The Ethernet interface transmission speed setting is a fully independent from USB connection and can be set in the network card's properties. The default setting is an automatic negotiation when the speed is set according to other elements in the LAN network.

B): If you connect the Gigabit adapter via the USB 2.0 port, the overall bandwidth of the adapter will be limited by bandwidth of the USB 2.0 interface, which is theoretically 480 Mb/s; in Gigabit Ethernet environments this adapter will be up to 4x faster than 10/100 Ethernet adapters.

The problem probably is that you did not allow the „installation of application from an unidentified developer“ from "Security & Privacy" application during installation the driver.
Please check "Security & Privacy" application if there is possible to allow the „installation of application from an unidentified developer“.  If this option is no longer available, you need to proceed as follows:

- Close the "Security & Privacy" window - IMPORTANT !!!
- uninstall the driver using the "AX88772C_772B_772A_760_772_Uninstall_v140.command" file from   the folder with the driver
- during the uninstallation the „application is from an unidentified developer“ message appears – left this window OPEN !!!
- open "Security & Privacy" again and allow „installation of application from an unidentified developer“  - you will need an administrator password
- Close the "Security & Privacy" window via OK button.
- Continue and finish uninstallation of the driver
- Restart the computer and then reinstall the driver

Because you have already allowed „installation of application from an unidentified developer“, the message should not be displayed again.
If it appears, do not close it, and allow „installation of application from an unidentified developer“ in "Security & Privacy".