Goals from Rabbi Matondo and Ed Francis sealed a deserved three points.
Ilkay Gundogan played 60 minutes for Simon Davies side as he continues his return from injury.
Bravo and Ederson have helped the young keeper.
In an entertaining clash played out amidst the August drizzle at the EtIhad Stadium, both sides carved out a number of good chances with City keeper Daniel Grimshaw producing a string of fine saves.
Man City youngsters star in England victory
Man City will play Bradford, Chesterfield and Rotherham in the group stage of the Checkatrade Trophy