The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for aggregate‐matrix composites with pronounced spatial directionality, an inherent characteristic of many materials in this class. In this work, a stepwise approach is adopted: first, simplified, non‐uniformed shaped representative volume elements (RVEs) are studied to investigate their macroscopic behavior. Based on the limitations identified in this initial formulation, a refined RVE is then developed that satisfies both mathematical consistency and mechanical plausibility.