  In this paper, we obtain a reverse version of the integral Hardy inequality
on metric measure space with two negative exponents. Also, as for applications
we show the reverse Hardy-Littlewood-Sobolev and the Stein-Weiss inequalities
with two negative exponents on homogeneous Lie groups and with arbitrary
quasi-norm, the result which appears to be new already in the Euclidean space.
This work further complements the ranges of $p$ and $q$ (namely, $q\leq p<0$)
considered in \cite{RV} and \cite{RV21}, where one treated the cases $1<p\leq
q<\infty$ and $p>q$, respectively.
