<p>This paper presents an analytical investigation of Love-type wave propagation in a layered mechanical system consisting of a viscous liquid on top of a flexoelectric medium embedded on a flexomagnetic half-space. The study investigates the effect of height and density of the viscous layer, flexomagnetic and flexoelectric coefficients under the magnetic and electric open and short circuit boundary conditions. The study derives a dispersion relation using an analytical method. The graphs are plotted to show the effects of key physical parameters like the thickness and density of the viscous layer, the thickness of the flexomagnetic layer, and the elastic coefficients using MATLAB. The results reveal that the height and density of viscous liquid decrease the phase velocity with increasing wave number. In contrast, the thickness of the flexoelectric layer accelerates the phase velocity. The presence of piezoelectric and piezomagnetic effects shows a decrease in the phase velocity for all the cases considered. The findings highlight the importance of different parameters on wave propagation, further useful in the design and optimisation of wave-based sensors and fluid-loaded waveguides.</p>