<p>This work deals with the multiscale topological design of coated structures with spatially rotating lattices as the infill. The lattice comprises a uniform microstructure that is allowed to rotate at the macroscale. The spatially rotating microstructures enable the lattice orientation to adapt across different load-carrying components, thereby increasing design flexibility and versatility. This study aims to simultaneously optimize the rotation field of the microstructure along with the macro- and microstructural layouts. The resulting rotation field encodes the local orientation of the microstructure relative to the macroscale frame. Morphology-mimicking nonlinear filters provide size control at both scales, while elliptic PDE-based filtering ensures a smoothly varying rotation field. Numerical examples demonstrate the effectiveness and highlight particular features of the proposed method with spatially varying rotation of the microstructure.</p>