The increasing use of multicast applications on the internet, has an urgent need for the high speed router/switches, which handles the multicast traffic efficiently. The core component of the router is the switch fabric. The scheduling algorithm which configures the switch fabric to arbitrate and transfer the cells between the input and output ports. Most of the existing multicast scheduling algorithms performed well under uniform traffic, but failed to achieve maximum throughput under non-uniform traffic. In this paper, the authors have proposed a multicast scheduling algorithm called Enhanced Multicast Due-Date Round Robin Scheduling Algorithm (E-MDDR), which got the improved throughput compared with Multicast Due-Date Round Robin Scheduling algorithm (MDDR). Since E-MDDR computes the residue of the cells waiting until M cell times and those cells are declared as the emergency cells, which are transferred between every M time slot for an NxM switch. So that it achieves the improved throughput and minimum delay under non-uniform Bernoulli and bursty traffic patterns.