What Windows version are you on? Are you launching it through Steam or something similar?
Windows 10, with a playstation controller opening through steam. when i try to open it natively it doesnt seem to want to open. So i have it through steam and the configuration is with the steam inputs (i've tried without and it just doesnt register at all)
it just only seems to register my controller when i click on the application and when i click away or onto a game it stops registering and the model hands dont move.
Steam input used to work even unfocused when i tested it but that was 2 years ago, maybe they changed it, i think you're going to have to try it natively again. Delete the "token" file in the plugin's directory and remove it from the VTube Studio's plugin list and try to launch it. Do note that the authentication request will appear in VTube Studio before the plugin window is created.