  The electric and chiral current response to the time- and
coordinate-dependent pseudoelectric field $\mathbf{E}_5$ in Weyl semimetals is
studied. It is found that $\mathbf{E}_5$ leads to an electric current in the
direction perpendicular to the field and the wave vector of the field-inducing
perturbation. We dubbed this phenomenon the anomalous pseudo-Hall effect. The
response of the chiral or valley current to the pseudoelectric field is also
found to be nontrivial. Since the wave vector for $\mathbf{E}_5$ cannot be
neglected, the frequency profile of the chiral conductivity is drastically
different from its electric counterpart showing a step-like feature instead of
a smooth Drude peak. The proposed effects can be investigated by driving sound
waves in Weyl semimetals with broken time-reversal symmetry.
