  The main goal of the present work is to analyze the cosmological scenario of
the induced gravity theory developed in previous works. Such a theory consists
on a Yang-Mills theory in a four-dimensional Euclidian spacetime with $SO(m,n)$
such that $m+n=5$ and $m\in\{0,1,2\}$ as its gauge group. This theory undergoes
a dynamical gauge symmetry breaking via an In\"on\"u-Wigner contraction in its
infrared sector. As a consequence, the $SO(m,n)$ algebra is deformed into a
Lorentz algebra with the emergency of the local Lorentz symmetries and the
gauge fields being identified with a vierbein and a spin connection. As a
result, gravity is described as an effective Einstein-Cartan-like theory with
ultraviolet correction terms and a propagating torsion field. We show that the
cosmological model associated with this effective theory has three different
regimes. In particular, the high curvature regime presents a de Sitter phase
which tends towards a $\Lambda$CDM model. We argue that $SO(m,n)$ induced
gravities are promising effective theories to describe the early phase of the
universe.
