  Based on the gauge/gravity correspondence, the hydrodynamic response
coefficients, shear and Hall viscosities, have been studied. The holographic
model of Einstein-Maxwell- AdS $(3+1)$-dimensional system additionally coupled
with the another gauge field mimicking the {\it dark matter} sector, as well
as, gravitational Chern-Simons term bounded with a dynamical scalar field, were
taken into account. Condensation of the scalar field provides the parity
violating term. Both shear and Hall viscosities have been calculated and their
dependence on $\alpha$ - the coupling constant between matter and {\it dark
matter} sectors has been studied. To the lowest order in the derivative
expansion and perturbation in $\alpha$, the shear viscosity is not influenced
by the {\it dark matter}, while the Hall component linearly depends on
$\alpha$.
