Hi! I use a MS Xbox S wireless controller on Ubunut almost every day and it "just works" but your controller seems different.
It might help us to know:
- How does that controller connect to your PC? (Bluetooth? USB cable?)
- Which Linux distribution are you running and what version is it?
Also, does this help at all?
https://github.com/medusalix/xone
xone is a Linux kernel driver for Xbox One and Xbox Series X|S accessories. It serves as a modern replacement for xpad, aiming to be compatible with Microsoft's Game Input Protocol (GIP).