The process of antigen transcytosis carried out by M cells in the mucosal-associated lymphoid tissue (MALT). Transcytosis is the process of the directed movement of endocytosed material through the cell and its exocytosis from the plasma membrane at the opposite side. M cells are specialized epithelia cells with a microfold structure that are adept at moving antigens from the gut lumen to antigen presenting cells in the MALT.