  The $\rm{keV}$ scale sterile neutrino was a qualified candidate for dark
matter particles in the Dodelson-Widrow mechanism. But the mixing angle, needed
to provide enough amount of dark matter, is in contradiction with the
astrophysical observations. To alleviate such tension, we introduce an
effective interaction, i.e. $g_a (\phi/\Lambda)\partial_{\mu}a
\overline{\nu_\alpha}\gamma^{\mu} \gamma_5 \nu_\alpha$, among Standard Model
neutrino $\nu_\alpha$, axion $a$, and singlet $\phi$. The axial-vector
interaction form is determined by the axion shift symmetry, and the singlet
$\phi$ with dynamically varied vacuum expectation value is introduced to
reinforce the axial-vector coupling strength and evade the stringent neutrino
oscillation constraints. The effective potential generated by the new
interaction {could cancel} the SM counterpart, resulting in an {enhanced
converting} probability between SM neutrino and sterile neutrino. Hence, the
production rate of sterile neutrinos can be substantially enlarged with smaller
mixing compared to the DW mechanism.
