Based on the combination of an EPON and various last-mile connections, EPON-based access networks can provide broadband access services economically. It, however, is imperative to create an optimized multicast retransmission policy in consideration of such a combined architecture. To resolve this issue, this letter proposes a new Centralized Selective Multicast Retransmission Policy (CSMRP) that efficiently retransmits multicast traffic. Performance results show that the proposed CSMRP can effectively reduce bandwidth consumption and queuing delay for enhanced resource efficiency.