The ᶆean-energy orᵯ-energy of a graph was introduced by Laura Buggy, Amaliailiuc, Katelyn Mc.Call, Duyguyen in 2010. The minimum mean covering energy (MMCE) is a special type of graph energy, symbolically represented by ( ), c E G introduced by C. Adiga et. al. The sum of the magnitudes of the characteristic values obtained from the Gutman matrix is named as Gutman energy. we present the results of minimum mean covering Gutman energies (MMCGE) of certain standard graphs (())MCGEG and the lower and upper bounds of ()MCGEG were also established.