  The minimal seesaw framework, embroiling the Dirac neutrino mass matrix $ M_D
$ and the Majorana neutrino mass matrix $ M_R $, is quite successful to explain
the current global-fit results of neutrino oscillation data. In this context,
we consider most predictive forms of $ M_D $ and $ M_R $ with two simple
parameters, respectively.
  Considering these matrices, we obtain the low energy neutrino mass matrix
under type-I seesaw formalism which obeys $ \mu-\tau $ reflection symmetry and
predicts $ \theta_{23} = \pi/4$ and $ \delta = \pm \pi/2 $. In the given
set-up, we also evaluate the Baryon Asymmetry of the Universe (BAU) through
successful leptogenesis and find that perturbation of $ \mathcal{O}(10^{-2}) $
leads to the observed BAU and breaks exactness of the symmetry. Moreover, we
also perform various correlation studies among different parameters in the
framework of broken symmetry.
