  The Hori-Tong and Hori dualities are infrared dualities between
two-dimensional gauge theories with $\mathcal{N}{=}(2,2)$ supersymmetry, which
are reminiscent of four-dimensional Seiberg dualities. We provide additional
evidence for those dualities with $U(N_c)$, $USp(2N_c)$, $SO(N)$ and $O(N)$
gauge groups, by matching correlation functions of Coulomb branch operators on
a Riemann surface $\Sigma_g$, in the presence of the topological $A$-twist. The
$O(N)$ theories studied, denoted by $O_+ (N)$ and $O_- (N)$, can be understood
as $\mathbb{Z}_2$ orbifolds of an $SO(N)$ theory. The correlators of these
theories on $\Sigma_g$ with $g > 0$ are obtained by computing correlators with
$\mathbb{Z}_2$-twisted boundary conditions and summing them up with weights
determined by the orbifold projection.
