By implementing the magneto-Cosserat continuum theory in FEM scheme, it is possible to simulate magnetic alignment in powders with magnetic anisotropy during compaction in an applied magnetic field. We thereby analyze the relationship between the direction of magnetic field and compaction process, such as cross compaction and parallel compaction. The rotation of the axes is thus calculated at various conditions of applied magnetic field. In our previous study, Cosserat constant was given arbitrarily. The method to calculate the Cosserat constant is proposed and its effect on the rotation of the particles' easy axes is discussed. As a demonstration of the developed method, magnetic particles' alignment during compaction in an applied magnetic field is simulated. The calculated results are in good agreement with the experimental ones.