No, you see, Fly and U-Turn aren't Egg Moves...
Egg Moves are exclusive moves that an offspring can "unlock" by means of crossbreeding with different Pokemon in its own egg group. A Rufflet knowing U-Turn and Fly is not strange because they are TM moves that were passed down to it from the father.
That being said, it's safe to assume that Braviary is the mother of this Rufflet, and the father is a Flying-type Pokemon who knew Fly and U-Turn.