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We investigate the Moiré superlattice structures generated by the interplay between vortex lattice and optical lattice in two-component Bose–Einstein condensates. Square vortex lattices are generated in both components of the rapidly rotating condensates, and an optical lattice with the same geometry as the vortex lattice is acted on the condensates for a short interval. The optical lattice provides a sudden phase imprint, leading to the appearance of a transient phonon lattice. Such lattice, combined with vortex lattice and twisted an angle from each other, results in the generation of transient Moiré superlattice. The possible superlattice patterns under different twist angles are studied, and the corresponding vertex spacing is determined. We also study the relative shift of the Moir é superlattices in two components of the condensates and give the corresponding shift vector. Our results enrich the quantum phases in cold atomic systems, and contribute to the understanding of Moiré physics in these systems.