Former Husker James Green won his final match at 70 kilograms Sunday, but the United States lost to Georgia in the bronze-medal match at the World Cup of Wrestling by a 4-4 tiebreaker at the Los Angeles Forum.
The United States finished fourth in the eight-team field.
Green finished 4-0 in his weight class, with three wins by technical fall and one by decision.
Olympic gold medalist and ex-Husker Jordan Burroughs did not participate, opting to spend time with his wife and newborn second child.
Before the United States wrestled Iran on Sunday, the Iranian team honored Burroughs for his contributions to wrestling as well as the birth of his daughter.