The stress-strain relationship of a homogeneous specimen in triaxial compression test allow to estimate a suitable understanding of stiffness parameters. However, when a two-layered specimen is tested the stress-strain behavior for two-layered soil is not in agreement with the usual concepts of soil mechanics. A homogenization approach is adopted to determine the initial Young’s modulus of the supposed cross-anisotropic linear elastic medium. A small 3D printed geogrid was fabricated to fit in the interaction between aggregate and sand-rubber. The nonlinear stress-strain relationship for unreinforced and reinforced homogenized two-layered triaxial specimens was formulated by Duncan and Chang (1970) hyperbolic model which involves Mohr-Coulomb strength parameters c and f. The initial Young’s moduli for the cross-anisotropic medium was used in the hyperbolic model to estimate the stress-strain behavior of unreinforced and 3D printed geogrid reinforced soils specimens. In this study was proposed analysis of a well-known non-linear model involving effect of unreinforced and reinforced homogenized two-layered specimen.