  We build upon the intriguing possibility that the recently reported nano-Hz
gravitational wave signal by Pulsar Timing Array (PTA) experiments is sourced
by a strong first-order phase transition from a nearly conformal dark sector.
The phase transition has to be strongly supercooled to explain the signal
amplitude, while the critical temperature has to be in the $\cal{O}$(GeV)
range, as dictated by the peak frequency of the gravitational wave spectrum.
However, the resulting strong supercooling exponentially dilutes away any
pre-existing baryon asymmetry and dark matter, calling for a new paradigm of
their productions. We then develop a mechanism of cold darkogenesis that
generates a dark asymmetry during the phase transition from the textured dark
$SU(2)_{\rm D}$ Higgs field. This dark asymmetry is transferred to the visible
sector via neutron portal interactions, resulting in the observed baryon
asymmetry. Furthermore, the mechanism naturally leads to the correct abundance
of asymmetric dark matter, with self-interaction of the scale that is of the
right order to solve the diversity problem in galactic rotation curves.
Collider searches for mono-jets and dark matter direct detection experiments
can dictate the viability of the model.
