  Asymmetric symmetry breaking models dynamically break the G X G gauge
symmetries of mirror models to distinct subgroups in the two sectors. The
coincidental abundances of visible and dark matter, $\Omega_{DM} \simeq
5\Omega_{VM}$, motivates asymmetric dark matter theories where similar number
densities of baryons in each sector are explained by their connected origins.
However the question of why the baryons of two sectors should have similar mass
remains. In this work we develop an alternative class of asymmetric symmetry
breaking models which unify the dark and visible sectors while generating a
small difference in the mass scale of the baryons of each sector. By examining
the different paths that the SO(10) GUT group can take in breaking to gauge
symmetries containing SU(3) we can adapt the mechanism of asymmetric symmetry
breaking to demonstrate models in which originally unified visible and dark
sectors have isomorphic color gauge groups at low energy yet pass through
different intermediate gauge groups at high energy. Through this, slight
differences in the running coupling evolutions and thus the confinement scales
of the two sectors are generated.
