  We investigate a dimension five Lorentz-violating (LV) nonminimal coupling
between the neutral vector meson field strength and the pion current in the
context of the Kroll-Lee-Zumino (KLZ) model. In this modified model we study
the vector meson dominance (VMD) through of the imposing of new universality
conditions between the couplings that comes from LV contributions. We also show
that the LV nonminimal coupling leads to a linear momentum dependence in the
timelike pion form factor, that is used to evaluate LV corrections for the muon
anomalous magnetic moment. The experimental imprecision of such quantity allows
us to obtain upper bound $\bar{g}\xi_{0} < 1.0 \mathbf{~}\mathrm{{GeV}}^{-1}.$
In addition, we also use the LV nonminimal coupling in the KLZ model to
recalculate the $\rho$ decay rate. In this case the experimental imprecision is
used to constrain the magnitude of the LV parameter at the level of
$\bar{g}\xi_{0} < 1.9\times10^{-2}\mathbf{~}\mathrm{{GeV}}^{-1}$.
