How to smooth drooping buccinator muscles right under corners of my lips? (Photo)

A combination approach would give the most improvement. I recommend fillers for the lines themselves but also lifting around the mouth and cheeks to build underlying anatomical support. In our practice we combine sculptra with other fillers "layered" on top and lasers, rf treatments, J Plasma and peels to get the most conservative natural look. Please see a facial sculpting expert. Best, Dr. Emer

Looks like you may have buccal fat pad herniation as another surgeon here has pointed out. Removal of the buccal fat pad can be done under local anesthesia or sedation. If instead you are worried about hollows, you may want to consider fat grafting as a more permanent solution. Hard to really tell from the single photo. Examination in the office would help the plastic surgeon ascertain what the cause of your cosmetic concern is and properly advise on which techniques are best in your case. Like some other practices, we also use surgical simulation software in our office to help patients see possible results of surgical maneuvers on a 3D model of their own faces. This is VERY helpful in educating patients.

I am impressed that you have a droopy buccinators muscle.  Was this diagnosed during a recent scan of your head?  If so who were you referred to.  Just in case this may be a medical issue you may wish to contact an ear nose and throat doctor and repeat the exam.