First-half goals from debutant David Amoo and Zoumana Bakayogo proved the difference as Rovers retained their place at the summit on goal difference from Doncaster.
"The difference was that they were slightly more clinical in the final third," said Barker.
"I wouldn't disrespect them and say they didn't play as much football as us, but I thought we had by far the most possession and we've more than matched a team sitting at the top of the league.
"We had a couple of spells of intense pressure where we camped in their half for a while, although I did feel there was a couple of times where we let attacks fizzle out too many times.
"But they are not top of the league for no reason they've not conceded a great number of goals here. So they are never going to be easy to score against.
"It's going to be a tough month, with Sheffield United away, Tranmere away and then Swindon and Doncaster at home. We've pretty much got all the top sides in the space of a month, so we've got to hang in there and make the best of it that we can."