Abstract <p>This work investigates Love-type wave transmission in a multilayered piezomagnetic (PM) and heterogeneous half-space (HHS) structure with a viscous liquid layer (VL) on top. Wave transmission behavior is investigated in both magnetically open (MO) and magnetically closed (MS) circuit boundary circumstances. The primary study focuses on the scattering behavior of phase velocity in a Love-type wave as influenced by the combination of VL, PM, and HHS. The dispersion relation for Love-type waves was calculated analytically, and phase velocity graphs were displayed and evaluated using Mathematica software. A detailed investigation was undertaken to determine the influence of important variables on phase velocity, such as material heterogeneity, piezomagnetic coupling, and viscous liquid layer thickness. The research results demonstrate the influence of VL, PM, and HHS materials on phase velocity in MO and MS conditions. Graphical comparisons reveal that piezomagnetic coupling causes significant changes in phase velocity, highlighting its role in wave propagation. The open and short circuit conditions exhibited approximately similar phase velocities, suggesting that boundary constraints had a negligible effect on wave propagation. The model only considers linear wave transmission and excludes nonlinear effects. Furthermore, the technique is predicated on idealized material properties that account for heterogeneity. The findings can be used to design and develop energy harvesters, sensors, and wave manipulation instruments using PM with viscous liquid coatings. Understanding the behaviour of surface waves, including phase velocity, is essential for efficient application in these frameworks.</p>