Rodgers feared his side were heading for a humiliation when Manchester United went 2-0 up. And he praised his players for denying United further goals.
"When Ashley Young scored the second goal, he sprinted into the goal to get the ball," said Rodgers.
"That told me he thought they could get a load of goals. So for our team to regroup and perform like we did shows the resilience and talent in the team. United's professionalism was exemplary.
"City's win could have deflated them but they came out firing."