  We consider a general system with weakly broken time and translation
symmetries. We assume the system also possesses a $U(1)$ symmetry which is not
only weakly broken, but is anomalous. We use the second order chiral
quasi-hydrodynamics to compute the magneto-conductivities in the system in the
presence of a weak magnetic field. Analogous to electrical and thermoelectric
conductivities, it turns out that the thermal conductivity is identified with a
coefficient which depends on the mixed gauge-gravitational anomaly. By applying
our general formulas to a free system of Weyl fermions at low temperature limit
$T\ll \mu$, we find that our system is Onsager reciprocal if the relaxation in
all energy, momentum and charge channels occurs at the same rate. In the high
temperature limit $T\gg \mu$, we consider a strongly coupled $SU(N_c)$ gauge
theory with $N_c\gg1$ in the hydrodynamic limit. Its gravity dual is a
magnetized charged brane to which, we apply our formulas and compute the
conductivities. On the way, we show that analogous to the weak regime, an
energy cut-off emerges to regulate the thermodynamic quantities. From this
gravity background we also find the coefficients of chiral magnetic effect in
agreement with the well-known result of the Son-Surowka.
