There is no actual surgery to elongate or make the mouth wider. In fact, a small mouth is considered more youthful and as one ages, the mouth actually widens. One can opt for hyaluronic dermal fillers that can be used to augment the lips including juvederm, Restylane, and Volbella. Additional options also include fat grafting or implants to the lips. It's important to note that dermal fillers as well as fat grafting and implants often can just address the issue of volume. You may want to consider a medialized corner lip lift to roll out the outside vermillion of your upper lip which is currently turned inwards. Lip reshaping surgery which can fully augment the actual shape and symmetry of the lips.