The process of electron-positron annihilation into eta(eta')2 pi is described within the extended Nambu-Jona-Lasinio model in the energy range up to about 2 GeV. Contributions of intermediate vector mesons rho(770) and rho(1450) are taken into account. Results for the eta 2 pi channel are found to be in a reasonable agreement with experimental data. Predictions for production of eta'2 pi are given. The corresponding estimations for decays tau -> eta(eta') 2 pi v are given in the Appendix.
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