The current Toffees squad is packed full of internationals and while the England left-back thinks they would give the 1995 FA Cup-winning team - who brought home the club's last piece silverware - a good game they cannot be considered their equals yet.
Despite their good form in the league this season, which has given David Moyes' side an outside chance of Champions League qualification, Baines insists medals not league places are what really matters.
"I still remember going to the 1995 cup final and I'd fancy our chances against that team, no disrespect to them," he said.
"They had a good team then and we've got a good team now but they will be remembered because of what they achieved and that surpasses anything.
"If anyone wants to stake a claim to being better than them well then prove it because they went there and did it and unless we do that we can't talk about being better than them.
"If you don't achieve anything then you are not going to get remembered."