  Recently we presented the upgrade of our code BSMPT for the calculation of
the electroweak phase transition (EWPT) to BSMPT v2 which now includes the
computation of the baryon asymmetry of the universe (BAU) in the CP-violating
2-Higgs-Doublet Model (C2HDM). In this paper we use {\tt BSMPT v2} to
investigate the size of the BAU that is obtained in the C2HDM with the two
implemented approaches FH and VIA to derive the transport equations, by taking
into account all relevant theoretical and experimental constraints. We identify
similarities and differences in the results computed with the two methods. In
particular, we analyse the dependence of the obtained BAU on the parameters
relevant for successful baryogenesis. Our investigations allow us to pinpoint
future directions for improvements both in the computation of the BAU and in
possible avenues taken for model building.
