Abstract: We study an extension of the Higgs sector of the Minimal Supersymmetric Standard Model (MSSM), considering the effects arising from new degrees of freedom at the TeV scale that are carrying new sources of CP violation beyond the MSSM. The new sources of CP violation have a strong impact on Higgs collider phenomenology and on low energy flavor and CP violating observables. Two striking Higgs benchmark scenarios are identified: a scenario with three neutral Higgs bosons that all decay dominantly into W boson pairs and a scenario with three relatively heavy Higgs bosons (~150 GeV) decaying dominantly into b bbar. We finally investigate the predictions of the model for those flavor observables that still allow the presence of sizable new physics effects while being compatible with the experiments. A particular emphasis is given to the rare decay Bs->mu mu and to the Bs mixing phase.