I relay info in plain text, not stats. I use A5e lore info for checks (if available) where appropriate, sometimes the party can’t know anything, then they don’t roll. I’m not super finicky about who asks for a check if they know anything, “Bob” may ask for a knowledge check, but if “Eric” is the the one holding the Draconomicon, I suggest he would know the most and role, we’re not doing 4 roles. They can ask mid combat.
I’ll ask if anyone thinks there’s a reason they would know about this particular monster, good answer lowers the DC, or eliminates it, if your backstory includes, “I witnessed my mom get eaten by an owlbear” then, I allow you know about owlbears.
General rule is I have to be able to imagine a way they might know a thing about a monster, then it’s posssibly knowable on an awesome roll. And I have a good imagination. They don’t need past experience, or past experience with someone that might know. Like, “oh, you did notice some of the rocks along the hallway into the room looked like they’d been eaten by acid”.
In short, I wing it and make up on the spot, unless I have a more prepared answer (A5e MM).