zeragrin: The xbox integration only sees games from my Xbox (Beta) app if I have them installed and have booted them up at least once.
It's not fully functional as of yet because you can't manage your installs, or even launch them currently.
In my case it only shows the games I have on Xbox (console) and that doesn't even work well because it lists all games I have installed from Game Pass (again, on the console, not on my PC, which I also use) and there is no way to tell if a game is owned or rented.
Also, it does not show Xbox 360 retro-compatible games, but that's understandable. I hope that's added later.
In my opinion subscription services should have a dedicated integration to avoid confusion or, alternatively they should have a special label and they should be removed when you are not subscribed anymore or they rotate out of the servic. In my case for example I still have Hitman 1 in the library even if it was removed from Game Pass.