[en] Compensation points of layer system consisting of mixed spin-2 and spin-((5)/(2)) ferrimagnetic honeycomb lattice layers which are coupled together with two kinds of positive interlayer coupling are examined by the use of the effective-field theory with correlations (EFT). In particular, the effects of interlayer coupling and a positive crystal-field constant of the spin-2 ions on the compensation temperature are investigated, in order to clarify the characteristic behavior of the temperature dependence of the total magnetization M. This is related to the experimental works of a molecular-based magnetic multilayer film, N(n-C₄H₉)₄Fe^IIFe^III(C₂O₄)₃. A comparison is made between the results in this paper and those in a previous work obtained by using Monte-Carlo simulations