This paper presents early results from a novel two-fluid Eulerian-Eulerian multiphase model for R744 two-phase ejectors, which to the authors knowledge has not previously been presented in literature. As opposed to previous R744 ejector models, this formulation includes non-equilibrium states for temperature, momentum, and chemical potential. The model is implemented into ANSYS Fluent using user-defined-functions and is able to achieve converged results faster than previousnon-equilibrium formulations. Results are compared with experimental results. The mesh and model parameters are studied for their impact on accuracy.