Is there a procedure that can fix eyes that are too far back in socket?

There are several options. Leave invasive and most predictable would be filler injection in upper eyelids. Fat injection is another option but less predictable. Another more invasive option would be orbital implant to push the eyeball forward but doubt that is what you need. Consultation necessary.

Thank you for your question. I suggest that you move forward and consult with your board certified facial plastic surgeon. It is important that you are finished healing with upper eyelid surgery before you evaluate your result, and consider additional procedures.
Best wishes,

Thank you for sharing your question. Injection fat or fillers might be the best option for you. See an expert in this part of the face for comprehensive evaluation and discussion of treatment options.Good luck,

The fat that has been removed from the eyelids causing hollowing can be replaced easily with fat injection, a procedure that many of us do it commonly.