<p>This study develops an analytical framework to investigate shear–horizontal (SH) wave transmission in layered multiferroic cylinders composed of concentric piezoelectric (PE) and piezomagnetic (PM) materials under prestress and rotation. Both bi-layer and tri-layer configurations are examined, with the latter including a fiber-reinforced core, while the interfaces are modeled as mechanically, electrically, or magnetically imperfect using spring-type conditions. Closed-form dispersion relations are derived for electrically open/magnetically short and electrically short/magnetically open boundary cases. Numerical simulations are conducted to assess the influence of interfacial compliance, thickness ratio, rotation speed, and initial stress on phase and group velocities, as well as electromechanical coupling efficiency. The findings reveal that mechanical imperfection exerts a stronger influence on SH wave dispersion than electrical or magnetic defects, while PE/PM stiffening leads to monotonic phase velocity enhancement. Rotation and prestress are shown to significantly modify dispersion behavior, with PE layers more sensitive than PM layers. The novelty of this work lies in its unified treatment of multiferroic cylinders with simultaneous rotation, prestress, and multifield interface imperfections, bridging theoretical predictions with practical design considerations. Although the analysis assumes linear material behavior and neglects nonlinear dissipation or thermal coupling, it provides physically consistent predictions validated against limiting cases from prior literature. The results offer valuable guidelines for the design of piezoelectric–piezomagnetic devices such as SAW gyroscopes, rotation sensors, and magnetically controlled transducers, where interfacial integrity and prestress management are critical for performance optimization.</p>