  Teleparallel Gravity is a gauge theory where gravity is a manifestation of
the torsion of space-time and its success relies on being a possible solution
to some problems of General Relativity. In this essay we introduce the
construction of the theory by defining its geometrical setup, and how we can
build it as a gauge theory of translations locally invariant under the Lorentz
group. In this context, we will study the production of primordial
gravitational waves and the observational implications when extended models are
taken into account, particularly, we will notice how the tensor spectral index
changes and produces a direct impact on the power spectrum from vacuum
fluctuations and any source of tensor anisotropic stress in comparison to
General Relativity.
