This paper proposes a comprehensive concept for integrating data governance (DG) into the Asset Administration Shell (AAS) to enhance cross-manufacturer data exchange. The DG concept encompasses key elements such as access control, role and rights management, and data management principles, aiming to improve data management within the AAS ecosystem. We present an extended metamodel for the AAS that incorporates these DG aspects, offering a more unified and efficient solution that mitigates potential errors and complexity in managing security and data integrity. To ensure the robustness of the proposed concept, we validate its correctness, completeness, consistency, and clarity through various test cases based on a desk test. These validations are critical to affirm the practicality and reliability of the concept within real-world industrial applications. By embedding DG aspects directly into the AAS metamodel, this approach not only simplifies the integration process but also supports the dynamic needs of Industry 4.0 environments. Our work addresses the current gaps in DG integration within AAS and lays the foundation for more secure and effective data exchanges across manufacturers. The validation process further reinforces the applicability of the concept, ensuring that it meets the necessary standards for operational deployment in industrial settings.