To promote the application of a new type of bionic energy-efficient sandwich plate with light weight and high strength in the construction field, a drop hammer impact test was adopted to determine the impact mechanical properties and influencing mechanism of fiber reinforced cement-based energy-efficient honeycomb plates with different core fillers (shredded straw and glass beads). The results show that compared with unfilled honeycomb plates (CHP), the contact force–time curves of energy-efficient plates have an obvious secondary peak, and the size of the damaged area on the back side of the upper skin is significantly reduced. Additionally, the presence of fillers in the energy-efficient plates provide a certain constraint on the deformation of honeycomb walls and skins, and slightly increase the size of the secondary peak. Furthermore, this study qualitatively reveals the influence mechanisms of the flexural stiffness of the sandwich plates, the morphology of damaged skins and fillers, the deformation pattern of the honeycomb core. The results provide a reference for subsequent research on the influence of different fillers on sandwich plates.