Non-static Einstein-Rosen universe with scalar field is examined via two different selection of f(R, T) models. Firstly, we analyzed Einstein-Rosen universe with scalar field in f(R, T) = R + 2f(T) model. Then, we constructed field equations for f(R, T) = f(1)(R) + f(2)(R)f(3)(T) model, as well. For both models, exact solutions of field equations have been attained without considering any approximation or restriction. Whether scalar field corresponds to phantom and/or quintessence scalar field are investigated for each models.