Delete the save prints and set them up again. This will register your prints with the screen protector. At this time it may not be able to match due to the extra layer, which is a good thing.
I had issues with the glass screen protectors on my s22 plus. Bought 2 different brands and neither worked well with the fingerprint sensor. So I bought a third one that's a hybrid of film and glass, it's been working a lot better. But I think it attracts lint/dust easier than previous film protectors I used on my old phone (s20). Good luck with your search, hope you can find one that works for you.