We study warped-twisted product manifolds in the form f 2 M1 × f 1 M2 with warping function f2 on M2 and twisting function f1. We give a necessary and sufficient condition for a warped-twisted product to be a doubly warped product. We also give some conditions for such manifolds to be a twisted and a base conformal warped product. Moreover, we give some results for Einstein-like warped-twisted product manifolds of different classes.