Spin waves (SWs) are promising information carriers which can be used in modern magnonic devices, characterized by higher performance and lower energy consumption than presently used electronic circuits. However, before practical application of SWs, the efficient control over SW amplitude and phase needs to be developed. We analytically analyze reflection and refraction of the SWs at the interface between two ferromagnetic (FM) materials. In the model, we consider the system consisting of two semi-infinite FM media, separated by the ultra-narrow interface region with the magnetic anisotropy. We have found the Goos–Hänchen (GH) shift for SWs in transmission and reflection, and performed detailed investigations of its dependence on the anisotropy at the interface and materials surrounding the interface. We have demonstrated the possibility of obtaining GH shift of several wavelengths in reflection for realistic material parameters. That proves the possibility for change of the SWs phase in FM materials at sub-wavelength distances, which can be regarded as a metasurface for magnonics.