Rodgers praised Graham for keeping his nerve and not letting the pressure of having to wait for that first goal get to him.
"He has been outstanding since he has come in and when you have his quality it's a matter of time," he said.
"In fairness to him, that's the first clear run he has had in on goal. In the games he has played his movement has been great and he has linked the game well.
"When he gets a chance, nine times out of 10 he will put it away, and he got a great ovation at the end which he thoroughly deserved.
"It was a wonderful finish, he showed great composure and technique to lift it over the keeper and it was a goal he and the team thoroughly deserved."