What is the latest technique to get optimal results? And how long will the results last?
From the picture, it looks like you have what is called tear trough deformity. The latest technique is a multi-modal approach of lower blepharoplasty with fat removal/repositioning, combined with fat grafting and either a chemical peel or energy based tightening of the skin (Laser, RF, plasma). Results should last for many years, but that also depends on how your tissue ages and how well you take care of your skin.
You have two options. Surgery would to inside the eyelid, release the tear trough, and blend the fat over the edge. It would make it anywhere from 50 to 75% better because part of the cause is descent of the cheek fat. Fat grafting could add additional improvement.
You could also improve it non surgically by adding filler. My preferred safe method is to inject Voluma deep on the bone for volume in the upper cheeks followed by RHA4 secondarily in the subdermal layer to blend it in better. I find that safer and less problems than tear trough injections.