Lower Decks is stuffed full of funny references to other Treks and specific episodes. Being an incurable Star Trek geek I get all or most of them and it’s part of the fun. That said, all of those references are treated as throwaway lines and aren’t important to the story, so I think it’d still be a good show if you miss those. It might even be more fun when you later watch that one TNG episode and go, “oh that’s what they were talking about”. Either way I recommend Lower Decks. It manages to be silly and fun while not mistreating Trek or its characters.
Much as I like Avery Brooks, he never got a handle on the Sisko character until he shaved and went back to being Hawk but with a son. They should have let him do that from the beginning.