This article examines the physical behaviour of the Kaluza-Klein FRW type space-time with f(R,T) gravity proposed by Harko et al. (Phys. Rev. D 84:024020, 2011) in the presence of a massive scalar meson field. Here, ”R” stands for the Ricci tensor, while ”T” stands for the energy-momentum tensor’s trace. We employed the (i ) hybrid expansion law (Akarsu et al. JCAP, 01:022, 2014), (ii ) the variable deceleration parameter (Mishra et al. Int. J. Theor. Phys. 52:2546, 2013), and (iii ) the linearly varying deceleration parameter (Akarsu and Dereli. Int. J. Theor. Phys. 51:612, 2012) to solve the field equations. Additionally, we looked at some of the model’s physical and kinematic characteristics. Our models have been found to show a smooth transition from the universe’s early slowdown to its current acceleration, and the current value of the deceleration parameter is found to be reasonably consistent with the observational data. The early stages of the universe’s evolution will be better understood through the study of domain wall cosmological models.