Dynamic microgrids (MGs) possess flexible system topologies and power flow control capabilities, enabling adaptive responses to outages caused by extreme events. This paper proposes a multi-region and multi-stage coordinated control method for the resilience enhancement of dynamic AC/DC MGs, aiming to address limitations arising from rigid electrical boundaries and insufficient coordination of heterogeneous resources during distribution network restoration. The proposed method introduces smart switches (SSWs) to establish dynamic electrical boundaries, thereby partitioning the system into multiple self-operable mini-AC/DC MGs. A novel multi-mode coordinated control scheme is designed to govern grid-forming (GFM) distributed generators (DGs), grid-following (GFL) DGs, and coupling converters (CCs). Specifically, GFM DGs operate in voltage-source mode, maintaining system frequency and voltage via droop control; GFL DGs operate in current-source mode, actively contributing to system regulation through inverse droop control; and CCs manage bidirectional power transfer between AC and DC subgrids based on inverse droop characteristics. Furthermore, a distributed secondary control layer enables the coordinated operation of GFM DGs, GFL DGs, and CCs across multiple regions and stages, ensuring zero-deviation restoration of voltage and frequency, proportional load sharing, and seamless topology reconfiguration. Notably, GFL DGs and CCs remain actively engaged throughout the entire restoration process, thereby maximizing the utilization of available resources and alleviating the capacity burden on GFM DGs. Simulation studies conducted on a 12-bus hybrid AC/DC test system validate the effectiveness of the proposed method in enhancing the resilience and adaptability of hybrid AC/DC MGs under extreme operating conditions.