The only captain to regain the Ashes for Australia before retiring in 1934 was Bill Woodfull. He led the Australian cricket team during the 1934 Ashes series against England, which Australia won, thus reclaiming the coveted trophy. This victory was significant as it marked Woodfull's successful leadership in a period of intense competition between the two nations.
For more details, you can refer to the Wikipedia page on the Australian cricket team in England in 1934.