  A modest extension of the Standard Model by two additional Higgs doublets -
the Higgs Troika Model - can provide a well-motivated scenario for successful
baryogenesis if neutrinos are Dirac fermions. Adapting the "Spontaneous Flavor
Violation" framework, we consider a version of the Troika model where light
quarks have significant couplings to the new multi-TeV Higgs states. Resonant
production of new scalars leading to di-jet or top-pair signals are typical
predictions of this setup. The initial and final state quarks relevant to the
collider phenomenology also play a key role in baryogenesis, potentially
providing direct access to the relevant early Universe physics in high energy
experiments. Viable baryogenesis generally prefers some hierarchy of masses
between the observed and the postulated Higgs states. We show that there is a
complementarity between direct searches at a future 100 TeV$pp$ collider and
indirect searches at flavor experiments, with both sensitive to different
regions of parameter space relevant for baryogenesis. In particular,
measurements of $D-\bar{D}$ mixing at LHCb probe much of the interesting
parameter space. Direct and indirect searches can uncover the new Higgs states
up to masses of $\mathcal{O}(10)$ TeV, thereby providing an impressive reach to
investigate this model.
