  We demonstrate under which conditions a violation of the charge-parity (CP)
symmetry in molecules will manifest itself in the Casimir-Polder interaction of
these with a magnetodielectric surface. Charge-parity violation induces a
specific electric-magnetic cross-polarisability in a molecule that is not
chiral, but time-reversal (T) symmetry violating. As we show, a detection of
such an effect via the Casimir-Polder potential requires a material medium that
is also sensitive to time-reversal, i.e., it must exhibit a non-reciprocal
electromagnetic response. As simple examples of such media we consider a
perfectly reflecting non-reciprocal mirror that is a special case of a perfect
electromagnetic conductor as well as a Chern-Simons medium. In addition, we
show that Chern-Simons and related media can induce unusual atom-surface
interactions for anisotropic molecules with and without a chiral response.
