  To explain the observed muon anomaly and simultaneously evade bounds from
lepton flavor violation in the same model parameter space is a long cherished
dream. In view of a generalized Two Higgs Doublet Model, with a Yukawa
structure as a perturbation of Type-X, we are able to get substantial parameter
space satisfying this criteria. We are focusing on a region with "{\bf
wrong-sign}" lepton-Yukawa coupling which gives rise to an interesting
phenomenological consequences. We found that in the "wrong-sign" region, it is
possible to probe the low-mass pseudoscalar in flavor-violating decay mode with
considerably better significance compared to the "right-sign" region.
Performing a simple cut-based analysis we show that at 14 TeV run of the LHC
with $300 fb^{-1}$ integrated luminosity, part of the model parameter space can
be probed with significance $\geq 5\sigma$ which further improves with
Artificial Neural Network analysis.
