G Drive not working on network

I just bought a G Drive usb-c and backed up a laptop with time machine. I then connected it to my home wifi and the mac does not see the drive. I am hoping for time machine to automatically back up the laptop when at home thru the home wifi network.
Any help would be great

We don’t offer any support other than direct attached to a computer. You’d want to make sure whatever router your using supports USB mass storage support for one thing, also you’d have to change the drive selection in Time Machine. Since you first used it as a direct drive to the computer, you’d have to select it as a network device if possible.