Rachyba represented Ukraine at the 2012 Summer Olympics in London, where he competed for the men's 84 kg class. He defeated Tunisian wrestler and two-time Olympian Haykel Achouri in the preliminary round of sixteen, before losing out the quarterfinal match to Georgia's Vladimer Gegeshidze, with a three-set technical score (1–2, 3–0, 0–1), and a classification point score of 1–3.