  We construct Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological
model in $f(R,T)$ theory of gravity when the source of gravitation is the
mixture of barotropic fluid and dark energy (DE) by employing a time varying
deceleration parameter (DP). We observe through the behavior of the state
finder parameters $(r, s)$ that our model begins from the Einstein static era
and goes to $\Lambda$CDM era. The EoS parameter($\omega_d$) for DE varies from
phantom ($\omega<-1$) phase to quintessence ($\omega >-1$) phase which is
consistent with the observational results. It is found that the discussed model
can reproduce the current accelerating phase of expansion of the universe.
