  The processes $e^{+}e^{-} \rightarrow K^{\pm} K^{*\mp}(892)$ and $e^{+}e^{-}
\rightarrow \eta \phi(1020)$ are calculated in the framework of the extended
Nambu-Jona-Lasinio model. The intermediate vector mesons $\rho(770),
\omega(782), \phi(1020)$ and their first radially-excited states are taken into
account. The obtained results are in satisfactory agreement with the
experimental data. The predictions for the cross sections of the reactions
$e^{+}e^{-} \rightarrow K^{\pm} K^{*\mp}(1410)$, $e^{+}e^{-} \rightarrow
\eta^{'}(958) \phi(1020)$ and $e^{+}e^{-} \rightarrow \eta \phi(1680)$ were
made.
