Two fluid scenario dark energy cosmological model with linearly varying deceleration parameter in Lyra's geometry

In this paper, we explore the evaluation of the dark energy parameter within a spatially homogeneous and anisotropic Bianchi type-$VI_{0}$ spacetime, incorporating Lyra geometry. To obtain a determinate solution, we solve the field equations using the linearly varying deceleration parameter proposed by Akarsu and Dereli (2012). We analyze two scenarios involving interacting and non-interacting fluids (barotropic and dark energy) and derive general results for each case. The physical implications of these findings are also discussed.