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We show how the presence of Vector-Like Quarks (VLQs) with quantum numbersidentical to the top-quark ones alongside a Type-II 2-Higgs Doublet Model(2HDM-II) (pseudo)scalar sector can remove the stringent constraint on the massof the charged Higgs boson $H^\pm$ (of some 580 GeV) emerging in such ascenario from $B$-physics results. We prove this to be the case for tworepresentations of such VLQs, both a singlet and a doublet one, wherein the thelowest allowed $m_{H^\pm}$ value can be 80 GeV. This is due to cancellationsonsetting in $b\to s\gamma$ topologies between VLQ and $H^\pm$ contributions.Furthermore, in order to enable one to probe the regions of, as it were, this`2HDM-II+VLQ' parameter space where this mechanism is most effective, wepresent several results on production cross sections and decay rates involvinga top-quark companion ($T$) with VLQ nature and the 2HDM-II Higgs bosons,chiefly the $H^\pm$ state, which can then guide the search for both extendedHiggs and quark sectors at the Large Hadron Collider (LHC) at CERN.Specifically, we highlight the case of VLQ pair production $pp\to T\bar T$followed by $T\to H^\pm b$ decays, where the $H^\pm$ state may in turn decayinto $\tau\nu$ or $tb$ pairs, depending on whether $m_{H^\pm}< m_t$ or$m_{H^\pm}>m_t$, respectively.

Probing Light Charged Higgs Bosons in the 2-Higgs Doublet Model Type-II with Vector-Like Quarks