Microgrid (MG) operator tries to supply the electricity consumption with minimum cost. To this end, the operator should economically manage the output power of its resources. These resources may be electrical, heat, or Combined Cooling, Heat and Power (CCHP) generators. On the other hand, improvement of the MGs resilience response against Low-Probability High-Impact (LPHI) events have received considerable attention in recent years. So, this should be taken into account in the energy management of MGs. The MGs energy management is realized in this paper with the goals of improving resilience, reducing operation cost, reducing environmental pollution, and reducing real power losses. For this purpose, some tools such as energy storage devices, CCHP, and renewables (Wind Turbine (WT) and Photovoltaic (PV) units) are implemented. Also, Genetic Algorithm (GA) is adopted to achieve the optimal answer. By considering the resilience concept in MG operation and based on the results, we find that the amount of operating costs and environmental pollution have increased by an average of 6.31 and 2.8 percent, respectively. But, because of reducing the outage cost and power losses by an average of 13.91 and 0.5 percent, respectively, the total cost is reduced by an average of 5.93 percent.