to describe both polarizability and absorptivity features of the medium.\
This paper is organized as follows. In Sec. 2, a Lagrangian for the total system is proposed and classical electrodynamics in the presence of an anisotropic polarizable and magnetizable medium with spatial-temporal dispersion briefly is discussed . In Sec. 3, applying the Lagrangian introduced in Sec. 2 a fully canonical quantization of both electromagnetic field and the dynamical variable modeling the responding medium is demonstrated. Then in Sec. 4, the constitutive equations of the medium are obtained as the consequences of the Heisenberg equations of the total system and the electric and magnetic susceptibility tensors of the medium are calculated in terms of the parameters applied in the theory . In Sec.5, it is shown that the Green function of the total system in reciprocal space satisfies an algebraic equation and a perturbation method to obtain the Green function is introduced. Finally in section 6 the model is modified for media which the distinction between polarization and magnetization is not possible. This paper is closed with a summary and some concluding remarks in Sec.7 .\

Classical electrodynamics in an anisotropic magnetodielectric medium 
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In order to present a fully canonical 