Burton came from behind to win the tie 2-1 against the Latics and Rowett praised his players for their best ever performance.
He said: "It was a game that we wanted to take as seriously as we could.
"I spoke to the players about it beforehand and said they might make some changes but it doesn't really matter. Whoever they change, they're going to bring a squad member, a first teamer or some internationals into the side.
"I would say, overall, that is as well as any team of mine has played, ever, since I've been here.
"I thought they were absolutely brilliant in lots of different ways. I don't think Wigan had lots and lots of chances. I actually thought we created quite a lot in the first 25 minutes.
"As the game went on we could pick and choose when we got up the pitch, and we still created chances."