  Phenomenological studies of a CP-violating two-Higgs-doublet Model with
type-II Yukawa couplings are presented. In the light of recent LHC data, an
update on the viable parameter space that survives both the experimental and
theoretical constraints is provided. In addition, the scope of the LHC in
exploring this model through the discovery of a charged Higgs boson that decays
in the tauonic mode is analysed. For this, various production channels were
investigated, with emphasis on the boson-associated channel $gg\to H_i\to H^\pm
W^\mp$ and the fermion-associated channels $gb\to H^\pm t$ and $gg\to H^\pm
bt$. For the latter, a signal-over-background analysis is performed.
