Rogers hit 95 as Australia, replying to England's 430 all out, ended the second day on 264 for five with the late wicket of Adam Voges leaving the hosts hopeful of turning the screw on Friday.
"England are probably in a happier position at the moment. I think the wicket is going to possibly deteriorate so it could be hard work for us, possibly at the back end," Rogers told a news conference.
"We can't really concede a big deficit otherwise it's going to be a big uphill battle for us. We have to get close and get to a position where we can put England under pressure in the third innings."
As well as Rogers, Steve Smith (33), Michael Clarke (38) and Voges (31) all got decent starts before falling to attacking shots, the latter perishing within sight of the end of the day's play.
"For a lot of us to get out the way we did, it's going to hurt, particularly when there was an opportunity to really make it count today," Rogers added.
"The fact that I got a 90 and there were three 30s and a few of the ways we got out, that'll hurt us and we think were better than that.
"But if you are positive and going at it some times you are going to get out these ways."
Rogers, 37, has scored half-centuries in his last seven test innings but has failed on each occasion to go on and reach three figures.
