  We study the Schwinger mechanism in QCD i.e., the quark-antiquark pair
production rate $\Gamma$ in the presence of pure electric field strength $eE$,
for a higher number of colors $N_c$ and flavors $N_f$. In this context, our
unified formalism is based on the Schwinger-Dyson equations, flavor-dependent
symmetry preserving vector-vector contact interaction model of quarks, and an
optimal time regularization scheme. For fixed $N_c=3$ and $N_f=2$, the
dynamically quark mass decreases as we increase $eE$ and near at and above the
pseudo-critical electric field $eE_c$, the chiral symmetry is restored and
quarks becomes unconfined. The pair production rate $\Gamma$ becomes stable and
grows quickly above $eE_c$. For fixed $N_c=3$ and upon increasing $N_f$ the
dynamical mass suppresses and as a result, the $eE_c$ reduces to its smaller
values, the pair production rate $\Gamma$ tends to initiates and grows quickly
for smaller values of $eE_c$. In contrast, for fixed $N_f=2$ and upon
increasing $N_c$, the dynamical chiral symmetry is restored for larger and
larger values of $eE_c$ and at $N_c\geq4$, the transition changes from smooth
cross-over to the first order at some critical endpoint ($N_{c,p}, eE_{c,p}$).
Consequently, the quark-antiquark production rate $\Gamma$ needs higher values
of $eE_c$ for the stable and quick growth as we increase $N_c$.
  Our findings are satisfactory and in agreement with already predicted results
for pair production rate (for fixed $N_c=3$ and $N_f=2$) by other reliable
effective models of QCD.
