  In this note, we show how one can attribute the anomaly currently present in
the measurement of the anomalous magnetic moment of the muon ($a_\mu$) to the
presence of an underlying Aligned 2-Higgs Doublet Model (A2HDM) with
Right-Handed (RH) neutrinos, $\nu_R$. The effects of the latter scenario are
driven by one and two-loop topologies wherein a very light CP-odd neutral Higgs
state ($A$) contributes significantly to $a_\mu$. Over the region of parameter
space of our new physics model which explains the aforementioned anomaly, also
consistent with the most recent measurements of the electron anomalous magnetic
moment ($a_e$), wherein the charged Higgs state $H^\pm$ plays a similar role,
we predict an almost background-free hallmark signature of it, due to $H^\pm A$
production followed by Higgs boson decays yielding multi-$\tau$ final states,
which can be already be searched for at the Large Hadron Collider (LHC).
