This paper is devoted to study the cosmological behavior of homogeneous and isotropic universe model in the context of $f(R,T^{\phi })$ gravity, where $\phi$ is the scalar field. For this purpose, we follow the first-order formalism defined by $H=W\left(\phi \right)$. We evaluate Hubble parameter, effective equation of state parameter $\left({\omega }^{eff}\right)$, deceleration parameter, and potential of scalar field for three different values of $W\left(\phi \right)$. We obtain phantom era in some cases for the early times. It is found that exponential expression of $W\left(\phi \right)$ yields ${\omega }^{eff}$ independent of time for flat universe and independent of model parameter otherwise. It is concluded that our model corresponds to $\Lambda$CDM for both initial and late times.