The results of numerical modeling of diffuse reflection and transmission by layers of oriented spheroidal particles (whose rotation axes are normal to the layer surface) with oblique incidence of a parallel beam of radiation on the layer are presented. To describe the properties of particles in the elementary act of scattering, the Rayleigh-Gans approximation is used. To describe the propagation of radiation in the layer, the radiative transfer equation in which the characteristics of the medium depend on the direction of radiation propagation is used. The influence of Fresnel reflection at the layer boundaries and the influence of the substrate are taken into account. Calculations of the luminance factors at the layer boundaries over a wide range of characteristics of the medium and layer thicknesses have been made.