Well, the OP is definitely giving the non-creationists what he surely thinks is a leg up by demanding evidence, which only the non-creationists think they can provide.
However, none of us was there. No one can present one scrap of conclusive evidence one way or the other. Some folks will point to scientific "evidence" that says that the Earth is older than the biblical Creation story would seem to set it. However, they ignore one thing: Couldn't a God who brings an entire universe into existence create it with all that evidence of age already present?
Science, when used to look backward, is interesting, but, by nature, flawed. Science makes guesses about how things work, uses those guesses to predict future outcomes, and constantly refines those guesses into theories and laws as they prove to be better and better predictors. Science is forward-looking. It is not apt for looking backward.
The net result: Whether you believe in a creation event or not, whether you will admit it or not, you are relying on faith. You are building a complete system of belief based upon axioms you cannot prove. But, hey, Euclidean Geometry works. And it is based on axioms accepted on faith. Even a few we now know to be false!
Sent from my iPad using Tapatalk.