  The Teleparallel Theory is an alternative theory of gravity equivalent to
General Relativity (GR) and with non-vanishing torsion $T$. Some extensions of
this theory, the so-called $f(T)$ models, have been subject of many recent
works. The purpose of our work in the end is to consider recent results for a
specific family of $f(T)$ models by using their corresponding
Tolman-Oppenheimer-Volkof to describe compact objects such as neutron stars. By
performing numerical calculations, it is possible to find, among other things,
the maximum mass allowed by the model for a neutron star for a given equation
of state (EOS), which would also allow us to evaluate which models are in
accordance with observations. To begin with, the present work, the second in
the series, considers polytropic EOSs since they can offer a simpler and
satisfactory description for the compact objects. In addition, with these EOSs,
we can already assess how different the $f(T)$ theories are in relation to GR
with respect to the stellar structure. The results already known to GR must be
reproduced to some extent and, eventually, we can find models that allow higher
maximum masses than Relativity itself, which could explain, for example, the
secondary component of the event GW190814. This particular issue will be
subject of a forthcoming paper, the third in the series, where realistic EOSs
are considered.
