Canthopexy Vs Canthoplasty to Correct Blepharoplasty Result?

At 2 weeks what you have is a lot of swelling. The weight of that pulls the lid down occasionally. This generally creates what is called scleral show, not ectropion. At this point, the treatment is massage (up & lateral) of the lid. This will usually go away in several more weeks. You also need to make sure that you are not doing anything to worsen the problem, such letting your glasses rest on the lid. If this is an ectropion, eversion of the lid margin, then you do have a problem and need toe see a qualified plastic surgeon that specializes in repair of eyelid problems. You will also need to see such a qualified individual if significant scleral show persists beyond another few months and is bothersome. This is because you my need release of the lid and grafting. You will also, at that time, need a canthoplasty (or possible canthopexy). DO not, however, opt for either now.

Canthopexy is a less complex and safer procedure to tighten the eyelid and improve lid position and shape after lower eyelid blepharoplasty.
In canthopexy, the canthal ligament is simply tightened with a suture, whereas in canthoplasty, the ligament is actually cut and re-sutured.
Canthoplasty can often require drilling holes in the bone of the eyesocket through which the canthoplasty sutures are placed.
Your surgeon should be expert enough to advise you as to which procedure is most appropriate for your sitiuation.