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In order to study the influence of the physical parameters of the thermodynamic properties of central adsorbed graphene-like bilayer materials, Heisenberg model is introduced. Under the framework of Heisenberg model, the materials are abstracted as a double layer ferromagnetic antiferromagnetic system with triangular structure model and a four sublattice. Using linear spin wave theory and the Green function method, the thermodynamic properties of the system are derived, and the internal energy and specific heat are solved numerically. The internal energy and specific heat increase with the increase of temperature. The internal energy decreases with the enhancement of the intralayer and interlayer antiferromagnetic exchange coupling, increases with ferromagnetic exchange coupling. The relationship between specific heat and exchange coupling and anisotropy are not linear. [ABSTRACT FROM AUTHOR]