You can reveal more lateral lip by performing and Extended Lip Lift or by performing and modified upper lip lift with lateral release. These can both provide improvements in lateral show but extended lifts tend to scar more given the increase in lateral tension. If a more substantial amount is needed then a corner Lip lift can be performed as well at the same or at a later time. I would be much easier to advise you with some photos
Bullhorn lip lift aims at reshaping central part of upper lip only. Results in shortening philtrum & improving shape/ volume of the upper lip. Lip corners can be treated by corner lip lift to raise them & design more cheerful look. best regards, Piotr Osuch, MD, PhD