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This paper is devoted to study the cosmological behavior of homogeneous andisotropic universe model in the context of $f(R,T^{\varphi})$ gravity where$\varphi$ is the scalar field. For this purpose, we follow the first orderformalism defined by $H=W(\varphi)$. We evaluate Hubble parameter, effectiveequation of state parameter $(\omega^{eff})$, deceleration parameter andpotential of scalar field for three different values of $W(\varphi)$. We obtainphantom era in some cases for the early times. It is found that exponentialexpression of $W(\varphi)$ yields $\omega^{eff}$ independent of time for flatuniverse and independent of model parameter otherwise. It is concluded that ourmodel corresponds to $\Lambda$CDM for both initial as well as late times.

Study of Homogeneous and Isotropic Universe in $f(R,T^{\varphi})$ Gravity