Congestion management (CM) is becoming a challenging task in the power system due to the increase in the system complexities in the deregulated environment. The congestion causes grave damage to the power system components if the outages tend to occur more frequently. Hence, in the present power system scenario, CM is a complex task of an independent system operator (ISO). This proposal intends to introduce a novel optimization-based CM model with advanced soft computing techniques. A new hybrid algorithm is introduced in this paper, which optimizes the generating power of added generators with the bus system. Thereby manages the congestion with minimized rescheduling cost. The proposed optimization algorithm termed Lion Algorithm with Moth-based Mutation (LA-MM) hybridizes the concepts of both Lion Algorithm (LA) and Moth Search Algorithm (MS). Subsequently, the experimentation is conducted in two test bus systems like IEEE 14 and 30 bus systems. The performance of the proposed model is compared over other stateof-the-art models concerning cost analysis and convergence analysis, respectively.