The report outlines a conceptual and practical approach to establishing the operational framework of digital twins (DTs) within Industry 5.0. It examines the procedure for the development and utilization of cognitive shell-metamodels, which enables the creation, correction, scaling, and deployment of DTs productions and their products of any complexity. The method of cognitive metamodelling for DTs integrates the core properties of DTs software, including 3D modeling, tracking of operational and dynamic changes, configuration management, monitoring of communication relationships, calculation of mass and inertial characteristics, and storage and visualization of chronicles for all operational and dynamic activities. This comprehensive approach enhances the flexibility of the interaction chain: human - DTs - communication channel - physical object, thereby bridging the gap between development, deployment, and scaling stages. In the context of Industry 5.0, applying such cognitive metamodels for DTs can bring all stakeholders involved in development and operation closer together in terms of time and location.