To me, it looks like, when close hauled, the sail should be inside the lifelines when trimmed. That will give you the best performance when going into the wind. Of course, off the wind, it will have to drape over the lifelines as you ease it out. I assume you have genoa tracks on the deck inside the lifelines. If your boat does not have inboard tracks and there are tracks outside your lifelines, then either the sail has to be modified so the clew is higher and the sail is not a deck sweeper anymore, or you can add a pennant per your suggestion. Your photo shows that the luff of the sail has not been raised the full extent. If the head of the sail is topping off at the top, then the leading edge of the sail is too long and needs to go back to the sailmaker for a proper fit (to shorten the luff). If you just don't have the sail hoisted to its full extent when you took the photo, then that is what we are seeing. Personally I would not put a pennant at the tack if there are inboard genoa tracks.