  This article aims to investigate the characteristics of (alpha, beta) Ricci
Yamabe soliton (briefly (alpha, beta) (RYS)) and its spacetime. The inclusion
of killing vector field and the Lorentzian metrics make the Ricci-Yamabe
soliton richer and interesting. We study the cosmological and dust fluid model
on (RYS) equipped with Lorentzian para Sasakian (LPS) spacetime. The cases of
eta-parallel Ricci tensor and the Poisson structure have been studied on (RYS)
equipped with (LPS) manifold. Gradient (RYS) equipped with (LPS) manifold also
reveal. Finally, we establish an example of four-dimensional LP Sasakian
manifold (LPS) that satisfy (alpha, beta) (RYS) and some results.
