  In this work, we present a trinification-based grand unified theory
incorporating a global $\mathrm{SU}(3)$ family symmetry that after a
spontaneous breaking leads to a left-right symmetric model. Already at the
classical level, this model can accommodate the matter content and the quark
Cabbibo mixing in the Standard Model (SM) with only one Yukawa coupling at the
unification scale. Considering the minimal low-energy scenario with the least
amount of light states, we show that the resulting effective theory enables
dynamical breaking of its gauge group down to that of the SM by means of
radiative corrections accounted for by the renormalisation group evolution at
one loop. This result paves the way for a consistent explanation of the SM
breaking scale and fermion mass hierarchies.
