On 23 April 2022 in Ulan Bator at the Asian Championships in the bout for the bronze medal lost to Japan's Kaiki Yamaguchi, taking the final 5th place.[2] On 19 April 2024, he competed at the Asian Qualifying Tournament in Bishkek, where he lost in the quarter finals to Ernazar Akmataliev of Kyrgyzstan, leaving him without a licence.[3]
At the 2024 World Wrestling Championships in Tirana, Albania, he won the bronze medal in the men's freestyle 61 kg third-place match against Azerbaijan's Nuraddin Novruzov with an 8-2 lead. Tseveensürengiin Tsogbadrakh defeated Aryan Tsiutryn of Belarus 2-1 in the first round, Kyrgyz Taiyrbek Zhumashbek Uulu 3-0 in the second round, and Iranian Reza Momeni 3-1 in the quarterfinal to reach the semifinal. He lost to Turkish Ahmet Duman 3-1 in the semifinal and reached the bronze medal match.[4][5]
In 2026, Mongolian wrestler Tsogbadrakh Tseveensuren was sanctioned after testing positive for testosterone, a prohibited substance under the World Anti-Doping Agency (WADA) Prohibited List. The sample was collected during the 2025 Senior Asian Championships on 29 March 2025. Following results management conducted by the International Testing Agency (ITA) on behalf of United World Wrestling (UWW), the Anti-Doping Division of the Court of Arbitration for Sport (CAS ADD) imposed a four-year period of ineligibility from 19 June 2025 until 18 June 2029, and all competitive results obtained between 29 March 2025 and 19 June 2025 were disqualified.[6]