  The inclusion of two triplet scalars in the Standard Model (SM) enables to
accommodate neutrino mass generation as well as baryogenesis through
leptogenesis. One of the essential ingredients of leptogenesis is the violation
of charge conjugation and parity (CP) symmetry in lepton number-violating
decays of the triplet scalars. We work on the promising sector of spontaneous
CP violation (SCPV) which is manifested by the involvement of one scalar
singlet and two scalar fields, added to the SM. The predictive aspect of the
model is accomplished by imposing $A_4 \times Z_4$ symmetry which results in
the traditional tribimaximal mixing pattern. With updated data on neutrino
oscillation, we study the parameter space of the model. The phase of the
complex vacuum expectation value (VEV) of the singlet scalar acts as the common
source of CP violation in both low and high-energy sectors. Due to the flavor
symmetry of the model, required baryon asymmetry cannot be accomplished via
unflavored leptogenesis. In the temperature regime, $\left[ 10^{9}, 10^{12}
\right]$ GeV when flavor effects become important in the study of leptogenesis,
it is shown that baryogenesis is achievable. The rich flavor interplay is
explored through the study of the density matrix equations. We also study the
interplay of hierarchical branching ratios of the decay of the triplet scalars
and SCPV phase to accommodate the required CP asymmetry to account for the
final baryon asymmetry in the observational range. Considering all possible
mass hierarchies among the triplet scalars, the flavor structure of the triplet
Yukawa couplings results in different scales of leptogenesis.
