It sounds as if the removal of skin produced scleral show. It stands to reason that if everything has healed appropriately and enough time has elapsed for all the scarring to soften, that the real answer is a skin graft to replace the skin that is missing. Because this may produce more noticeable cosmetic deformity, although not always, alternative procedures may be called for that are not truly anatomically corrective.
A surgeon would have to do a careful examination of your periorbital region to come up with a possible solution. This could range from support from below (carlilage graft, infraorbital rim implant) or lid tightening (canthopexy). If you are experiencing tearing or dry eyes, more aggressive treatment might be warranted, otherwise the caveat is to do no additional harm.