  The present work is inspired by the application of $A_4$ modular symmetry in
the linear seesaw framework, which restricts the use of multiple flavon fields.
Linear seesaw is realized with six heavy $SU(2)_L$ singlet fermion superfields
and a weighton in a supersymmetric framework. The non-trivial transformation of
Yukawa couplings under the $A_4$ modular symmetry helps to explore the neutrino
phenomenology with a specific flavor structure of the mass matrix. We discuss
the phenomena of neutrino mixing and show that the obtained mixing angles and
CP violating phase in this framework are compatible with the observed $3\sigma$
range of the current oscillation data. In addition, we also investigate the
non-zero CP asymmetry from the decay of lightest heavy fermion superfield to
explain the preferred phenomena of baryogenesis through leptogenesis including
flavor effects.
