The demand for high efficiency and flexible production has led to more complex and flexible production organizations in discrete manufacturing systems. How to rapidly construct/reconfigure a workshop digital twin in response to a configurable complex physical production organization becomes a challenging problem. To address this challenge, based on the existing SevenElement description model, we propose an improved Material Nodes-oriented SevenElements (MNOSE) description model. This model is not only capable of describing/expressing inter-device relationships among manufacturing equipment/devices but also intra-device internal relationships between the device and materials handled by it. Its potential impact on shop-floor digital twin is to make an updating of shop-floor digital twin easier and faster because it can easily express and rapidly (re)-construct a shop-floor digital shadow in response to a rapidly physically reconfigured workshop for a different production organization. In addition, the model can drive the logical unification of multiple digital twin services in a plant and improve the efficiency of integration between several information systems. The utility of the description model in describing shop floor is demonstrated by a case study and validated by modeling representations of typical production organizations.