  We propose a new mechanism to simultaneously explain the observed dark matter
abundance and the baryon asymmetry of the Universe. The mechanism is based on
the Filtered Dark Matter scenario, where dark matter particles acquire a large
mass during a first-order phase transition. This implies that only a small
fraction of them are energetic enough to enter the advancing true vacuum
bubbles and survive until today, while the rest are reflected and annihilate
away quickly. We supplement this scenario with a CP-violating interaction,
which creates a chiral asymmetry in the population of dark matter particles. In
the false vacuum phase, a portal interaction quickly converts the dark sector
chiral asymmetry into a Standard Model lepton asymmetry. The lepton asymmetry
is then partially converted to a baryon asymmetry by standard electroweak
sphaleron processes. We discuss the dependence of the generated asymmetry on
the parameters of the model for two different portal interactions and
demonstrate successful baryogenesis for both. For one of the portals, it is
also possible to simultaneously explain the observed dark matter abundance,
over many orders of magnitude in the dark matter mass.
