The energy industry is experiencing significant changes in terms of sustainability and competition, primarily driven by the introduction of renewable energy targets and emission limits. Demand response is a potential solution to reduce the critical peak; however, its implementation in industries can be challenging due to their production requirements. Technology enablers such as digital twin technology can enhance energy flexibility and optimize manufacturing and service processes. In this study, we aim to develop a framework that can help the manufacturing industry to optimise industrial demand response services and achieve a seamless interaction of different layers such as the physical, data infrastructure, digital twin, management, and aggregator. A systematic literature review and workshops were conducted to identify key technologies, decision areas and methods to enable both manufacturing and energy flexibility to reach demand response. Based on the results, an energy-flexible framework for manufacturing industries was developed.