Omar Marmoush and Antoine Semenyo were the goalscorers for City on the day.
Edwards said afterwards: “I felt we kept the game where we wanted it to be, even when they had the ball. In the main, we kept it away from our box, limited chances and felt in control even when we were without the ball.
"Then we were able to start turning up the heat, being a bit more aggressive and opening up as the second half went on.
"I definitely think we can take a lot from it, even in defeat. People, I suppose, will see a routine victory for City, and I understand, but I don't really feel it was routine. I feel like we were good, but they're better.”
He also said: "The frustration is they score from position where they shouldn't from a cross. We've got three versus one in the box, in the middle of the goal, and we've got to be able to deal with that better.
"Then the timing of the second goal was very tough for us to take. I know they've scored those two goals, but we limited them to very little again, like we have been doing very consistently for a long time against everyone now and kept pushing to try and get back in it.”