If you go through the barbers manuals you learn to true shaving direction orientation for each piece of the face. Going against the grain on the upper lip is a good way to end up with a variety of facial pieces left on the floor.

Try a very slight "scooping" motion in the cavity under the nose and a very slight scything motion on the section under and to the sides of the nose.

I know this will raise a howl of protest but I find that if I remove the lather from my upper lip before shaving it the razor will grab and shaves the whiskers much, much, much better. Not only do I do this as the typical water only pass but I'll dab a towel on it to dry off excess water. But be careful, your very nick prone at this moment. It does leave a BBS shave on the upper lip though going WTG.