<p>An external magnetic field and microscale length parameter are introduced to derive the general governing equations for piezomagnetic-piezoelectric bilayer structure using a variable separation method. The contacts between layers are considered as sliding contacts. The governing dynamic equation, transverse deflection, and Maxwell’s equations for electric and magnetic potentials are solved simultaneously within each domain, yielding a comprehensive analytical solution. In magnetoelectric composites, shear wave propagation exhibits complex behavior influenced by external magnetic fields and microscale effects. The four dispersion relations are derived by applying admissible boundary conditions influenced by electric and magnetic fields. The key contribution of the current work is demonstrating the influence of sliding interface, thickness of the piezomagnetic layer, thickness ratio, external magnetic field, balancing force, and microscale length parameter on the shear wave propagation. The findings emphasize the role of these parameters, offering valuable insights into the dynamic behavior of advanced composite structures.</p>