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Cognitive Radio (CR) is an emerging technology to solve the issue of scarce spectrum resource utilization. The routing plays a significant role in CR Ad-hoc network and it has two major problems, those are spectrum load balance and energy efficiency. Hence, maintaining the spectrum load balance and energy efficiency becomes a difficult task in CR Ad-hoc Network. In this research, a new Multicast Ad-hoc On-Demand Distance Vector (MAODV) with Particle Swarm Optimization (PSO) algorithm was introduced for selecting best route of less energy consumption in the CR networks. The routing algorithm is implemented with an efficient particle encoding scheme and multi-objective fitness function. Moreover, the data packets are secured by using the RSA algorithm. The optimized lifetime attained from the desired CR ad-hoc networks by using this RSA technique. The multiple scenarios were simulated to compute and analyse the performances in terms of energy consumption, Packet Delivery Ratio (PDR), end to end delay, and throughput. The proposed method named as MAODV-PSO-RSA, which implemented in Network Simulator-2 (NS2). The main objective of the MAODV-PSO-RSA method is to improve the energy consumption during the routing process. The simulation results showed that MAODV-PSO-RSA method had improved 1-2.2% of network performance compared to the existing methods such as Bio-Inspired Routing Protocol (BIRP) and Improved Frog Leap Inspired Protocol (IFLIP).