Currently all PlayStation Trophies require you to complete all of the achievement on a PlayStation console and aren't working correctly with cross-progression.
Trophies will also not auto-grant for you if you have already earned the achievement on Steam, Epic Games, Xbox or Switch and then play on PlayStation. This is also the same if you earned it on PlayStation 4 and play Fall Guys on PlayStation 5.
This means that for the time being there is a chance you'll have some trophies that will not be obtainable on PlayStation (won't auto-compete and can't be completed again)
Our Support Team won't be able to grant trophies for you but we are working on a solution for this as soon as possible!