More often than not, the middie taking the faceoff cannot win the ball to himself. That is why you rake it out to your teammates who are running in. Be sure to communicate to them where they should be.
If they don't get to the ball first, then it is often your own fault. I always place the long stick middie on my left side, because I usually win it to my right. I place the other middie back and to my left, to prevent the fast break.
The lacrosse faceoff person is often overlooked on younger teams. College teams realize how much of an asset a good faceoff man is.