A MANET is an infrastructure less temporary network without any centralized administration. In such network, all nodes are mobile and can be connected dynamically in an arbitrary manner.In MANET's, limited power of the nodes is a hot challenging area to be worked upon.So, energy efficient mechanisms should be combined with existing routing protocol to reduce node failure and improve the network lifetime.This work presents a RPMEB.The protocol deals with four parameters as Residual Energy, Bandwidth, Load and Hop Count for route discovery.The problem of the link failure in the channel during the call in progress thus leads to the degradation of the QoS.To deal this we are using a Backpressure Technique. This protocol helps every node in MANET to choose next efficient successor node.It uses fixed (crisp) metrics for making routing decisions energy-aware.Here a fuzzy logic controller has been developed that combines these parameters, keeping in mind the synergy between them.The value obtained signifies the importance of a node which is used in network formation and maintenance.The protocol improves the performance of a route by increasing network life time and selecting best node.