  We investigate the potential of the model `CP in the Dark' for providing a
strong first-order electroweak phase transition (SFOEWPT) by taking into
account all relevant theoretical and experimental constraints. For the
derivation of the strength of the phase transition we use the one-loop
corrected, daisy-resummed effective potential at finite temperature,
implemented in the C++ code BSMPT, to determine the global minimum at the
critical temperature. The model `CP in the Dark' provides a dark matter (DM)
candidate as well as explicit CP violation in the dark sector. We find a broad
range of viable parameter points providing an SFOEWPT. They are within the
reach of XENON1T and future invisible Higgs decay searches for DM. `CP in the
Dark' also offers SFOEWPT points that feature spontaneous CP violation at
finite temperature. Having not only an SFOEWPT that provides the necessary
departure from thermal equilibrium, but also a source of additional
non-standard CP violation, opens a promising gate towards enabling the
generation of the baryon asymmetry of the universe (BAU) through electroweak
baryogenesis.
