What is the relationship between the fiber orientation at delamination interface and the interlaminar fracture toughness of the composite? The answer is inconclusive based on experimental results. The conflicting observations stem from inconsistencies and inaccuracies in characterization techniques. As an alternative approach to circumvent the experimental challenges, the present study proposes a numerical dual-scale model for delamination, incorporating both micro- and meso-scale features. The model investigates two different fiber orientations at the mid-thickness interface: 0°/0° and 90°/90°. Comparative analyses demonstrate the importance of including a refined region with micromechanics to accurately predict the crack path during delamination. The results exhibit agreement with the literature models and enable estimation of early-initiation fracture toughness, considering delamination interacting with the microstructure while simulating a double cantilever beam specimen with reduced width. The approach provides a deeper understanding of delamination behavior and fracture toughness estimation, contributing to improving composite characterization techniques and design strategies.