  We consider a recently-proposed model which posits the existence of composite
dark matter, wherein dark "quarks" transforming as fundamentals under an
$SU(3)_d$ gauge group undergo a confining phase and form dark baryons. The
model attempts to explain both the $\mathcal{O}(1)$ relic density ratio,
$\Omega_{\mathrm{dark}}/\Omega_{\mathrm{baryon}}\sim 5.4$, as well as the
asymmetric production of both dark and baryonic matter via leptogenesis. Though
the solution of $\beta$ functions for $SU(3)_c$ and $SU(3)_d$ constitutes the
main drive of the model, no threshold corrections were taken into account as
the renormalization scale crosses the mass threshold of the heavy new fields in
the model. We extend this work by explicitly calculating the
threshold-corrected renormalization-group flow for the theory using an
effective-field matching technique. We find that the theory has a much wider
range of applicability than previously thought, and that a significant fraction
of models (defined by the number of fields contained therein) is able to
account for the observed relic density.
