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We investigate a dimension five Lorentz-violating (LV) nonminimal couplingbetween the neutral vector meson field strength and the pion current in thecontext of the Kroll-Lee-Zumino (KLZ) model. In this modified model we studythe vector meson dominance (VMD) through of the imposing of new universalityconditions between the couplings that comes from LV contributions. We also showthat the LV nonminimal coupling leads to a linear momentum dependence in thetimelike pion form factor, that is used to evaluate LV corrections for the muonanomalous magnetic moment. The experimental imprecision of such quantity allowsus 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 torecalculate the $\rho$ decay rate. In this case the experimental imprecision isused to constrain the magnitude of the LV parameter at the level of$\bar{g}\xi_{0} < 1.9\times10^{-2}\mathbf{~}\mathrm{{GeV}}^{-1}$.

A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model