The aim of this paper is to study a contact Riemannian submersion π : M → B between almost contact metric manifolds such that its total space M admits an η−Ricci soliton. Here, we obtain some necessary conditions for which any fiber of π and the manifold B are η−Ricci soliton, Ricci soliton, generalized quasi-Einstein, quasi-Einstein, η−Einstein or Einstein. Finally, we study the total space M of π equipped with a torqued vector field and give some characterizations for any fiber and the manifold B of such a submersion π.