There are several important issues to consider. First you have to make sure that all of your swelling has gone away. Even though this picture is about 6-7 weeks post surgery, you could still be experiencing some swelling that accounts for the laxity in your lower eyelids.
Lower eyelid surgery usually does require some type of procedure to address the loose skin in addition to the bulging fat so a skin tightening procedure is very common. If all swelling has resolved and there is indeed some loose skin that needs to be tightened, then you do have a few choices.
Thermage does a pretty good job of tightening the eyelid skin without any down time. It might require 1-2 treatments to achieve notable tightening. The more reliable option is to have laser resurfacing. This could be done with either a fractional CO2 or traditional CO2 resurfacing.
The fractional CO2 laser has a shorter healing time of around 7 days versus 2 weeks for the traditional fully ablative CO2. In either case you should expect some very nice results with smoother and tighter skin.
It is best that you be assessed by an experienced surgeon to assess for any residual swelling and to see what the best choice is for you.