Wireless technology is growing at a breakneck pace. The Vehicular Ad-hoc Network (VANET) is one of the most intriguing Intelligent Transportation System (ITS) area, that comprises of many automobiles travelling on the road. The emergence of such networks transforms the realm of wireless communication. The significant evolution of VANET technology is due to the enormous growth in the number of smart vehicles over time. Since itinerant vehicles rely on battery power, one of the most challenging issues is to send multimedia messages and emergency alerts swiftly and reliably. Toward this, a novel Variable Lie Hypergraph based Energy Aware Routing Protocol (VLH-EARP) is proposed to minimise latency and energy depletion in order to ameliorate infotainment services in VANETs. First, variable hypergraph construction for Lie algebra of upper triangular matrices is introduced which it is employed for clustering of vehicles, and cluster head selection was exploited by variable hypergraph transversal property. Next, the vehicles in hyperedges are transformed to Upper Triangular Matrix (UTM). Finally, the route is identified by Lie commutators of Lie algebra of upper triangular matrices. The performance of the VLH-EARP is assessed by simulating the network with varied sizes, based on the metrics packet delivery ratio, energy factor, end-to-end delay, and throughput. Simulation results exemplify that the proposed VLH-EARP outperforms over the compared routing approaches.