Hey @Qarox!
Can you clarify if this only occurs on the screen with the driver and car? Seems the issue isn't occurring on the first screen in the video so can you clarify if the controller was plugged in while on that screen or did you plug it in after getting to the driver screen? And did you connect the controller after launching the game or before launching the game?
As for resolving this, I'm not sure if there's a way to do so. Unfortunately, Switch Pro controllers are not officially supported so we can't guarantee they will work. You can find the list of officially supported peripherals here.
While we can't guarantee it should work, you can try some general troubleshooting to try and help resolve the issue.
1. Download and install any driver updates for your controller from the manufacturer's website.
2. Make sure that your controller is properly configured in the Windows Control Panel.
3. Check for any in-game controller settings that may need to be adjusted.
You can also try:
1. Open Control Panel, and go to Devices and Printers.
2. Right-click on one of your game controllers, and click Game Controller Settings. Note the controller's location in the list. If it is not at the top, proceed to the next step.
3. Right-click and remove all of your other controllers apart from the 360 controller / gamepad, and let them reinstall automatically.
4. Once complete, right-click and check the list again to see if the 360 controller / gamepad is at the top. If so, try again to see if the game now detects your controller.
You may also find that verifying the game files may help!