  We provide properties of almost $\eta$-Ricci and almost $\eta$-Yamabe
solitons on submanifolds isometrically immersed into a Riemannian manifold
$\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the
tangential component of a torse-forming vector field on $\widetilde{M}$,
treating also the case of a minimal or pseudo quasi-umbilical hypersurface.
Moreover, we give necessary and sufficient conditions for an orientable
hypersurface of the unit sphere to be an almost $\eta$-Ricci or an almost
$\eta$-Yamabe soliton in terms of the second fundamental tensor field.
