Will a lip lift fix my lips after having buck (prominent) teeth and braces? (photos)

Good day! Thank you for providing photos with your query. I believe you are a good candidate for a lip lift so ask your doctor about lip shortening which has small incisions placed at the base of the nose under the nostrils. This shortens the distance between the nose and the upper lip and will also allow the lip to “roll out”, creating a more "pouty" look.This procedure also drastically improves the aesthetic of one’s smile and facial proportions. It is tailored for each patient to create youthful, natural looking results that can create a more proportional smile and reduce the signs of aging around the mouth. 
Find a board-certified plastic surgeon that has extensive experience with your case and discuss realistic goals and expectations. Best of luck! #RealSelf100

When I look at your profile, I mainly notice your chin being too far back instead of your upper lip being too far forward. If you still have an overnight even after braces, you should consider orthognathic surgery to realign your teeth and jaw. They will often do something called a sliding genioplasty at the same time to bring your chin farther forward. 
Another option, if you are wanting a less-invasive option,  would be to simply place a chin implant which would give some improvement but wouldn't repair your teeth alignment. 
I don't think a lip lift would be your best option, unfortunately. 
Best of luck to you,
Sarah Saxon, MD