  We investigate the generation of the baryon asymmetry of the Universe within
a SUSY SU(5) x T' model of flavour, which gives rise to realistic masses and
mixing patterns for quarks and leptons. The model employs the see-saw mechanism
for generation of the light neutrino masses and the baryon asymmetry is
produced via leptogenesis. We perform detailed calculations of both the CP
violating lepton asymmetries, originating from the decays of the heavy Majorana
neutrinos operative in the see-saw mechanism, and of the efficiency factors
which account for the lepton asymmetry wash-out processes in the Early
Universe. The latter are calculated by solving numerically the system of
Boltzmann equations describing the generation and the evolution of the lepton
asymmetries. The baryon asymmetry in the model considered is proportional to
the J_{CP} factor, which determines the magnitude of CP violation effects in
the oscillations of flavour neutrinos. The leptogenesis scale can be
sufficiently low, allowing to avoid the potential gravitino problem.
