  We investigate how baryogenesis can occur by the presence of an
$f(T)$-related gravitational term. We study various cases of $f(T)$ gravity and
we discuss in detail the effect of the novel terms on the baryon-to-entropy
ratio. Additionally, we study the constraints imposed by the observational
values of the baryon-to-entropy ratio and we discuss how more generalized
cosmologies can contribute successfully, in a viable and consistent way, in the
gravitational baryogenesis mechanism.
