Rodgers felt Bolton were lucky to earn a point.
He said: "We certainly deserved the three points. It was a terrific game. Of course there's a wee bit of tension around but I thought we were excellent and we created enough chances to win the game.
"We scored a very good goal to go in front early on but conceded a disappointing goal from our perspective. But the reaction to that was outstanding.
"I thought the players showed no fear, they kept pushing forward, being creative and, on another day with a little bit more luck, we might have had three or four goals."