  In the context of extended theories of teleparallel gravity $f(T)$ we derive
the focusing conditions for a one-parameter dependent congruence of timelike
auto-parallels of the Levi-Civita connection. We also consider the $f(T)$ field
equations for a general metric tensor before moving on to consider a spatially
flat Robertson-Walker space-time. Following this, we study the expansion rate
for a one-parameter dependent congruence of timelike auto-parallel curves of
the Levi-Civita connection. Given the fact that test particles follow
auto-parallels of the Levi-Civita connection, the torsion-free Raychaudhuri
equation is used in order to determine the desired focusing conditions. Finally
we study the obtained focusing conditions for three $f(T)$ paradigmatic
cosmological models and discuss the satisfaction or violation of these
conditions. Through this, we find $f(T)$ models that allow for the weak and
strong focusing conditions to be satisfied or violated. It is mentioned that
this behaviour can also be found in the so-called $f(R)$ and $f(Q)$ theories.
