The correct procedure for vasectomy reversal is vasovasostomy, which involves microsurgical reconnection of the two cut ends of the vas deferens to restore sperm flow. This surgery requires precise anastomosis under magnification to ensure patency and improve the chances of fertility restoration. The goal is to re-establish the continuity of the vas deferens, enabling sperm transport from the testes to the ejaculate. Unlike vasovasostomy, orchiectomy is removal of the testicle, varicocelectomy treats dilated veins, and hydrocelectomy addresses fluid around the testicle, none of which reverse vasectomy.

Reference: Campbell-Walsh Urology, 12th Edition.