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We provide properties of almost  η -Ricci and almost  η -Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold    whose potential vector field is the tangential component of a torse-forming vector field on   , treating also the case of a minimal or pseudo quasi-umbilical hypersurface. Moreover, we give necessary and sucient conditions for an orientable hypersurface of the unit sphere to be an almost  η -Ricci or an almost  η -Yamabe soliton in terms of the second fundamental tensor field.

Almost η -Ricci and almost η -Yamabe solitons with torse-forming potential vector field