If you play Forza Horizon 5 on multiple PlayStation 5 consoles, such as on both the standard PS5 and PS5 Pro, you should take additional care to ensure that progress is fully synchronized before you attempt to launch the game on another PS5 system.
Please follow the steps outlined here to verify that your save data is backed up with your latest gameplay progress: PlayStation Plus cloud storage for PS5 consoles
When you start playing Forza Horizon 5 on a different PlayStation 5 console, you will be prompted to link the game to your Microsoft account, even if you are using the same PlayStation Network account and saved data.
Please note, Forza Horizon 5 does not support cross save functionality between PS5, Xbox and Steam, which all have independent save profiles.
While your progress cannot be transferred from one platform to another, progression on Forza Horizon 5 from Xbox consoles or PC can trigger several stats to pop-up during your playthrough on the PS5 version. This is expected behavior due to how accounts and leaderboard data are set up. A list of known gameplay stats that migrate across platforms can be found at https://support.forzamotorsport.net/hc/en-us/articles/39144665637651-Forza-Horizon-5-on-PS5-FAQ#cross-platform-faq