I believe to achieve the results you desire, you would need an excision of the tendon producing the two creases. I would perform a wedge excision, including the lower lip vermillion. I do not think it can be treated by a more conservative treatment.
The photo is a little dark to see exactly what is going on. Have you been injured on the lip? How long have you noticed it?A non-surgical repair would include using injectable filler in the small side and that would increase the size of your lower lip.
When the upper lip is retrograde to the lower the profile is not attractive. The easiest correction is with staged Juvederm over a period of 2 months and 3 sessions. Ideal is the upper lip slightly ahead or even with the lower. The staged concept allows the patient to...