The Hoops go into their Champions League clash with Borussia Monchengladbach unbeaten domestically and hugely encouraged by the home draw against the Premier League superstars last month.
Celtic have one point from two Group C fixtures while the Bundesliga outfit are yet to get off the mark after defeats to City and Barcelona.
Rodgers is looking for his side to show their recent improvement and get the win that would put them in the driving seat for a Europa League spot at least.
"Since we played against Manchester City we are a better team and we are getting better as each day goes on," Rodgers revealed. "The younger players are gaining experience and this type of occasion will benefit the players.
"But of course we're here to win and in our home games we want to ensure we get a victory. We always felt it would be fantastic if we could be in European football after Christmas.
"In a very short period of time the players have made great strides and this competition was always going to help us on the journey developing players.
"That will take time but you saw the performance against Man City, it was a real high level.