What to do about these mouth protrusions on the corners of my mouth? (photos)

Physical exam would be helpful because from your photos, your lips look fine. It appears that lower Nasolabial folds may be what are bothering you. Fillers like Juvederm may be helpful. Seek the advice of a board certified plastic surgeon or dermatologist. Good luck!

By mouth protrusions I think you mean the folds on the sides of the mouth in the nasolabial fold region which happens as the cheeks start to shrink down, and as a result aren't pulling up the cheeks anymore.Voluma is labeled as a 2 year filler.  It is a pretty easy process to have done.  You would have to define modest budget, as I'm thinking about 2 syringes, you can expect the price to be about $1,750.  It is safe and fully reversible if for some reason you did not like it.

Thank you for your question and photographs. While nothing replaces an office examination, what you may be referring to is the natural volume loss, shrinkage, and sagging that occurs around the mouth and lips. The visible appearance of this natural process may start around late 20's. The general cosmetic treatment is facial fillers, such as Restylane and Juvederm to help add volume and make"protrusions" less visible. Facial filler injections are temporary, lasting approximately 6 months. The cost will vary based on material and amount of material injected, starting at approximately $650.Best,Dr. Chaboki