This document presents a novel hybrid algorithm called HGS for detecting transmitted data in 4G and beyond mobile communication systems. The HGS algorithm uses metaheuristic approaches to achieve optimal detection performance with low complexity. It aims to develop adaptive detection methods that have faster convergence speeds and require fewer parameters over time-varying MIMO channels. Simulation results show the HGS algorithm achieves better bit error rate than other detection methods like MMSE-MUD and GACE, with lower computational complexity. Future work could involve applying the metaheuristic approaches to systems using interleaved division multiple access or independent component analysis.