Which procedure would target sagging corners? Considering corner mouth lift, temporal lift and eyelid surgery (photo)

Any well done facelift will improve the jowls and neck. There are many types of facelifts which are largely the same so don’t get confused if you get different recommendations from each surgeon

Facial aesthetics are primarily determined by facial bone structure.
Even problems that appear to be soft tissue related usually can be correlated with issues of the skeletal structure.
Issues surrounding the lower 1/3 of the face are often related to having a mandible that is small or lacking in projection.
There are a handful of procedures described. I’m at lifting the corners of their mouth, including Botox treatments.
None of these are particularly helpful.
I would be cautious regarding this type of surgery since it is a fairly common problem without good solutions.
Insist on seeing plenty of before and after pictures whenever considering permanent irreversible facial surgery.
Best,
Mats Hagstrom MD