There are a variety of treatments available to help soften the appearance of downturned lips at the corners of the mouth. Dermal filler injections into the corners of the mouth and the edges of the lips can help reorient the lips. I usually prefer to use a softer, hyaluronic acid filler at these sites, such as Juvederm or Restylane. Additionally, Botox and other neuromodulators, when injected into the muscles that depress the corners of the mouth, will relax these muscles and soften your overall appearance. I would recommend that you seek out a consultation with a board certified dermatologist or plastic surgeon to discuss your concerns and come up with a treatment plan that's best for you.
As the aging process progresses, downturned corners of the mouth inevitably occur. This can be improved non-surgically using dermal fillers and botox. Please consult with a board certified specialist who can assist you with improving this area of concern.