The prediction of the microstructure evolution in metals under mechanical loading at elevated temperatures, i.e. above 300°C, is still a challenge since a number of different mechanisms are involved. The crystal orientation at any given material point may change due to both plastic deformation and grain boundary migration. This problem has been addressed by coupling the Kobayashi-Warren-Carter (KWC) orientation phase field to crystal plasticity. Later, recognizing the micropolar theory as the natural framework for this problem, the KWC orientation phase field was coupled with Cosserat crystal plasticity [1]. However, the KWC formulation is limited to Read-Shockley type of grain boundary energies and involves a singular diffusion equation. Recently, an alternative orientation phase field model has been proposed [2] that allows for anisotropic grain boundary energies. We extend this model by coupling it to Cosserat crystal plasticity and compare its predictions and numerical performance to the KWC – Cosserat crystal plasticity coupling in a 2D finite element framework.