  We consider composite two-Higgs doublet models based on gauge-Yukawa theories
with strongly interacting fermions generating the top-bottom mass hierarchy.
The model features a single "universal" Higgs-Yukawa coupling, $ g $, which is
identified with the top quark $ g\equiv g_t \sim \mathcal{O}(1) $. The
top-bottom mass hierarchy arises by soft breaking of a $ \mathbb{Z}_2 $
symmetry by a condensate of strongly interacting fermions. A mass splitting
between vector-like masses of the confined techni-fermions controls this
top-bottom mass hierarchy. This mechanism can be present in a variety of models
based on vacuum misalignment. For concreteness, we demonstrate it in a
composite two-Higgs scheme.
