  The GW170817 event opened a new window to test modifications to General
Relativity with the aim of discard or impose strong constraints in extra
dimension theories of gravity. Concerning these theories, the Randall-Sundrum
brane-world theory -- 4+1 spacetime model where its covariant Einstein field
equations are composed with new extra terms that comes from extra dimensions --
is begin tested in the multi-messenger astronomy field. In the same context,
the aim of this paper is to impose new constrictions through measurements of
the time-delay between the gravitational and electromagnetic signals: GW170817
and the recent S190425z, over the free cosmological parameters of this modified
model. We assume that Gravitational Waves travel along a shortcut on the extra
dimension. In addition, we consider the standard $\Lambda$CDM model and perform
a likelihood analysis in order to study effects like the $H_0$ tension in
comparison to this extra-dimensional theory, obtaining a reduced $H_0$ value of
the order of $0.2\%$ in the low energy limit of this theory.
