First, your right eye appears much more prominent than the left eye. This is most likely a preoperative status that was unnoticed by your plastic surgeon.
A canthoplexy, or its more involved cousin, canthoplasty are surgical procedures that shorten the lower eyelid. Surgeons who perform these procedures on individuals in your circumstance are guilty of linear mechanical thinking: Shorten the eyelid and you will pull it up. Unfortunately, what is going on here is taking place on a spherical surface. When we fly from say Los Angeles to London, the pilot does not fly a straight line. On a flat surface the shortest distance between to points is a straight line. However, on a curved surface, the shorten distance between two points is a curved line, known as a geodesic. Pulling the eyelid tight on the eye will not lift the eyelid. Counterintuitively, it will lower the eyelid as the shortened eyelid will find the shortest path on the eye which will actually be under the curve of the globe. Thus tightening the eyelid will actually make your situation worse.
How then is this problem addressed? The answer is a matter of lengthening the eyelid both horizontally and vertically. This is the rational for the various grafting methods used to address these types of problems. You can go to my website (lidlift dot com) and read about these surgeries. One other issue with your surgery I would point out it the outward rotation of your lower eyelid margin. Normally this eyelid edge is not visible. A hard palate graft with a canthoplasty can be used to control the rotation of the lid margin and this would also be an important aspect of reconstructing your eyelids.
It is interesting that practicing in Los Angeles, I do see a very large number of patients from Chicago. There are excellent oculoplastic surgeons in Chicago. However, I do not believe they offer these types of specialized reconstructions. As you are only 4 months out from surgery, I recommend waiting a few more months before considering reconstructive surgery. I think it is likely the right side will need work done. The left side might settle down enough that with some fillers you will be satisfied with the result. The key is dry eye. If the eyes are uncomfortable as a result of the surgery, this may tip you toward needing work on the left side as well. Please do not have the eyelid fixed incorrectly as this makes the ultimate reconstruction even more complex.
I hope that information is helpful.