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Interaction of dark energy in the anisotropic locally rotationally symmetric (LRS) Bianchi type-I metric is investigated in the context of modified fR,T theory of gravity, where R is the Ricci scalar and T is the trace of stress energy momentum tensor. We choose the particular form of the functional fR,T=f1R+f2T; then, we find the exact solutions of the field equations by applying inhomogeneous equation of state, p=ωρ−Λt, and a generalized form of hybrid expansion law. The transition of deceleration to acceleration is observed in this model. It is also observed that the universe shows accelerated expansion at late epoch. The derived model overlaps with ΛCDM at late time which is in agreement with present observation. Energy conditions of the derived model are also investigated. From the plot, we observe the age of universe t0≈13.821 Gyr for the observed H0≈70.07 Kms‐1Mpc‐1. The physical and geometrical behaviours of these models are also discussed.