I have asymmetrical eyes 1 month after lower Eyelid Surgery. Will I need revision surgery to correct this? (photo)

The right lower eyelid has indeed dropped with more scleral show ( more white showing) than on the opposite eye.  This is one of the more common complications of lower eyelid blepharoplasty, and is due to scarring in some of the deeper tissues of the eyelid, or to removal of too much skin.  Fortunately, this should improve with time ( retraction tend to be worst in the first 2-3 months), and may fully resolve eventually. However, it is possible that it will not in which case a revision would be necessary, but if that should become necessary it is best to wait a full year to allow the tissues and scar tissue to soften up completely, and maximize the chances that a revision would be successful. For now, massage to stretch the lower eyelid can help.  Iwould consult with your surgeon and follow their advice. 

You appear to have lower eyelid retraction/ectropion. They may improve as eyelids take up to 6 months to heal. At that time, it can re-evaluated for possible revisional surgery.

At this point you are very early in the healing period.  YOu do have some scleral show and inferior pull of the eyelids.  You can start doing some massage to help decrease swelling and move the lids up.  Warm compresses may help too.  With time the lids may come back up to normal position.