Objective <p>The current paper examines the elastodynamics of a damped coated half-space under the influence of rotational frame and supported by a two-parameter elastic foundation, the so-called Pasternak foundation. The interface between the coating and the half-space has been assumed to bear generalized sliding conditions, thereby recovering the perfect interfacial conditions upon setting the sliding contact parameter to zero.</p> Methodology <p>The analytical method has been deployed for the acquisition of the wave fields in each layer and the consequential secular equation. Findings: in the end, some physical data were consulted and further simulated to assess the impact of the parameters involved on the dispersion of shear waves on the mechanically loaded coated substrate. Besides, the action of the involving parameters has been noted to have opposite effects on the related coating’s displacement and the shear stress, while the dispersion of waves in the coated medium - through the consequential dispersion relation has been observed to drastically reduced with an increase in rotation, and the Winkler and Pasternak foundations; at the same time, an increase in the sliding contact parameter positively impacts the dispersion of waves in the coated structure.</p> Application <p>In the end, this study will benefit scientists working in the design and analysis of coated and composite structures arising in modern areas like material science and structural engineering, among others.</p>