The best treatment for lip wrinkles is to add volume to the lips and resurface. For volume, hyaluronic acid fillers work best for temporary filling. We prefer autologous fat-fascial grafts ILiveFill) for lip augmentation over fat injection in our practice, but both are widely used for a more permanent result. Botox can be effective in very small amounts, but remember that the lip is functional, and too much Botox can literally make patients drool or interfere with speech. For resurfacing, there is a range of options from fractional lasers to fully ablative lasers, with variable settings of each depending on the patient's recovery time and needed results.
I read your concern: Upper lip wrinkles may be softened by a well performed Injectable Filler treatment provided they're visible and deep when you're not pursing your lips. Delicate wrinkles that are not visible at rest are not well suited for fillers. This may be a tricky area to improve as the injection should be intradermal, or into the skin. If you have several treatments where the filler is placed deep to the wrinkled skin, you can get a full, unattractive appearance of your upper lip. The expertise of your doctor is important if you're looking to reduce the appearance of the "bar-code" on your upper lip. My personal preference in this area is to use Silikon-1000, an off-label filler for permanent results. Hope this helps. Dr. Joseph