Composites are a class of heterogeneous materials with randomly distributed second phase material (with varying volume fractions) in the form of particles or fibers in a parent matrix phase. The influence of heterogeneities on composites’ macroscopic response can be studied by performing experiments on large samples with different physical and geometrical properties (time-consuming). It can also be carried out by computationally simulating the entire body, including all heterogeneities that require enormous computing power and data storage. One of the less expensive solutions is to develop models based on microstructure physics while predicting the macroscopic response of composite for different geometric parameters. Finite element (FE) modeling, using representative volume elements (RVE) subjected to periodic boundary conditions (BCs) for various loading conditions, can be used to estimate the homogenized properties of the composite. In this work, the transverse homogenized properties, like transverse elastic and shear moduli as well as transverse Poisson’s ratio of Epoxy (LY556) resin matrix mixed with E-glass inclusions (different shapes), are computed. The sensitivity analysis is then performed to analyze the effect of volume fraction, shape, and distribution of inclusion particles on the macroscopic properties of the composite. The effect of orientation and number of inclusions is studied, at different volume fractions, for elliptic inclusions. Finally, the FE modeling results are compared appropriately with results from various well-known analytical micromechanics methods.