  Motivated by the fact that the origin of tiny Dirac neutrino masses via the
standard model Higgs field and non-thermal dark matter populating the Universe
via freeze-in mechanism require tiny dimensionless couplings of similar order
of magnitudes $(\sim 10^{-12})$, we propose a framework that can dynamically
generate such couplings in a unified manner. Adopting a flavour symmetric
approach based on $A_4$ group, we construct a model where Dirac neutrino
coupling to the standard model Higgs and dark matter coupling to its mother
particle occur at dimension six level involving the same flavon fields, thereby
generating the effective Yukawa coupling of same order of magnitudes. The
mother particle for dark matter, a complex scalar singlet, gets thermally
produced in the early Universe through Higgs portal couplings followed by its
thermal freeze-out and then decay into the dark matter candidates giving rise
to the freeze-in dark matter scenario. Some parts of the Higgs portal couplings
of the mother particle can also be excluded by collider constraints on
invisible decay rate of the standard model like Higgs boson. We show that the
correct neutrino oscillation data can be successfully produced in the model
which predicts normal hierarchical neutrino mass. The model also predicts the
atmospheric angle to be in the lower octant if the Dirac CP phase lies close to
the presently preferred maximal value.
