  We study $SU(4)_C \times SU(2)_L \times U(1)_R$ models with modular $A_4$
symmetry that provide unified description of the quark and lepton sector
including the flavor structures. The models are distinguished by the
assignments of the modular weight on matter superfields. We carry out numerical
$\chi^2$ analysis and search for parameter sets that accomodate the
experimental results. We provide a benchmark point for each model to illustrate
implications of our models.
