With the multiple functions such as power conversion and information exchange, the electrical energy router (EER) has the potential to effectively manage the energy flow of the microgrid. In this paper, an extendable AC/DC hybrid microgrid topology regulated by EER is constructed for large industrial enterprise. Considering the policy background of the two-part electricity price, this paper carries out a dual gradient division of the whole-day control period, and presents a flexible strategy with multi-mode switches to help the enterprise alleviate energy consumption pressure. Finally, the simulation platform of AC/DC hybrid microgrid is designed and built in DIgSILENT/PowerFactory. The simulation results demonstrate feasibility and economic efficiency in utilizing the proposed cooperative energy management strategy.