  Recently Dolgov and Pozdnyakov proposed a new baryogenesis mechanism in which
baryon asymmetry is produced without violating baryon number at the Lagrangian
level. In this scenario, baryon asymmetry is generated by absorption of a new
particle X carrying baryon number onto Primordial Black Holes (PBHs). Assuming
CP-violation, the particle X is absorbed at a different rate than the
antiparticle $\bar{X}$, producing an asymmetry in the baryonic number. We
independently test this scenario, finding that it suffers from two fundamental
issues.\\ At the phenomenological level, strong absorption by PBHs initially
increases the baryon asymmetry. However, at later times such asymmetry is
completely absorbed by PBHs. In order to overcome this issue, we account for
PBH evaporation, which provides a natural way of halting the absorption while
keeping a finite baryon asymmetry. We provide a systematic study of the
parameter space, identifying the regions leading to the production of the
baryon asymmetry without violating the known constraints on PBHs concentration.
  At the theoretical level, a model realizing the CP-violation postulated in
this scenario is difficult to realize. We show, by implementing a minimal
model, that the framework proposed in the original work in order to produce
CP-violation, even if qualitatively correct, is quantitatively in disagreement
with the observed baryon asymmetry, namely this mechanism produces only a
fraction of the total baryon asymmetry.
