["Business Strategy and the Environment, EarlyView. ", "\nABSTRACT\nIn recent years, organizations are adapting their control systems to meet institutional demands for sustainability disclosure. However, the process of integrating sustainability within management control systems (MCSs) remains underexplored, despite extensive literature on sustainability controls. Through the review of 85 articles, we investigate how the integration process unfolds, how and why it is addressed by different actors and identify avenues for future research. We developed an analytical framework that highlights key actors shaping the process, their purposes, the main dimensions of integration and its potential barriers. We contribute to theory by proposing an extended framing of the process, which comprises a conceptual dimension (embedding of sustainability values and interconnection of MCSs and sustainability control systems) and a technical dimension (architecture design). We also offer practical and policy insights, clarifying the influential actors' roles, suggesting different ways to configure integrated systems and illustrating how organizations respond differently to institutional pressures.\n"]