Contributed to the leanprover-community/mathlib4 repository by developing MulDistribMulActionHom, a feature designed to support multiplicative structures in non-Abelian group cohomology. This work mirrored the existing DistribMulActionHom, enabling a consistent translation between multiplicative and additive frameworks through the to_additive mechanism. The implementation, written in Lean and grounded in abstract algebra and category theory, established foundational connections necessary for extending non-Abelian cohomology support within mathlib4. The approach focused on aligning new multiplicative constructs with established additive patterns, ensuring future extensibility and coherence across mathematical structures. No bug fixes were recorded during this period, emphasizing targeted feature development.