The separation of wet dispersed materials is becoming an urgent task for the industry of Ukraine and other countries, especially in the food and processing industries. Solving this task can effectively solve the problem of efficient management of wastes such as alcohol grounds, beer grounds, beet pulp, coffee and barley sludge. After separation of the liquid phase from the waste (dewatering), the solid phase can serve as a soil conditioner, a useful additive to agricultural feed, be used as a high-calorie fuel, and have other beneficial uses in both the processing and agricultural industries. After separation of the liquid phase from the waste (dehydration), the solid phase can serve as a useful additive to agricultural feed or be used as a high-calorie fuel. The most promising method of separating wet dispersed waste is mechanical dehydration. This method provides high productivity, low energy consumption, which is hundreds of times less than when using thermal methods to achieve the required moisture level of waste. A promising type of equipment for the mechanical separation of wet dispersed waste is presses with a hydraulic drive. They are characterized by compact size, high energy efficiency and reliability, as well as the possibility of precise regulation of waste processing parameters. The article presents a diagram of an improved and highly efficient installation with a hydraulic drive for the separation of wet dispersed materials. A mathematical model is presented that connects the parameters of the separation process, the design characteristics of the installation and the physical and mechanical properties of the material being processed. The found equations can be used to establish relationships between the working parameters of the processes, the design parameters of the equipment for the efficiency of the proposed bioenergy waste recycling technology.