  In a recent work, a particular class of $f(T)$ gravity, where $T$ is the
teleparallel torsion scalar, has been derived. This class has been identified
by flat-like universe (FLU) assumptions \cite{HN15}. The model is consistent
with the early cosmic inflation epoch. A quintessence potential has been
constructed from the FLU $f(T)$-gravity. We show that the first order potential
of the induced quintessence is a quasi inverse power law inflation with an
additional constant providing an end of the inflation with no need to an extra
mechanism. At $e$-folds $N_{*}= 55$ before the end of the inflation, this type
of potential can perform both $E$ and $B$ modes of the cosmic microwave
background (CMB) polarization pattern.
