Your progress will carry over if you switch between Xbox Series X|S and Xbox One (and vice versa).
Your progress will not carry over if you switch to Xbox from another platform like PC or PlayStation. Similarly, your progress will not carry over if you switch from Xbox to another platform.
If you own multiple platforms and plan to now play Outriders on Xbox Game Pass, we recommend ensuring that you play the demo on Xbox in order to have your progress carried over when switching to Xbox Game Pass.