  Baryogenesis refers to the theoretical process that occurred in the early
history of the universe producing excess of matter over antimatter. Hitherto,
fundamental physics which can give rise to such events is unknown. Many
theories have emerged which may be able to suffice this conundrum, although
concrete understanding is obscure. Gravitational baryogenesis is one such
theory introduced by H. Davoudiasl, et al., Phys. Rev. Lett. \textbf{93} (2004)
201301. In this theory, for a CP violating interaction proportional to
$\partial_{\mu}R$, where R denote Ricci scalar, gravitational baryogenesis is
inevitable. In this paper, we have investigated the consequences of CP
violating interactions proportional to $\partial_{\mu}R$, $\partial_{\mu}T$ and
$\partial_{\mu}f(R,T)$ in the framework of non-minimal f(R,T) gravity. We found
that for interactions proportional to $\partial_{\mu}R$ and
$\partial_{\mu}f(R,T)$, baryogenesis can be realized with suitable parameter
spaces producing a net baryon asymmetry factor consistent with observations,
whereas for interaction proportional to $\partial_{\mu}T$, results in a baryon
asymmetry incompatible with observations.rther, we obtained baryon to entropy
ratio in each case and put constraints on parameters spaces of our model.
