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The event generator BEEC [Z. Yang, X.G. Wu and X.Y. Wang, Comput. Phys.Commun. 184, 2848 (2013)] was devoted to the simulation of heavy quarkoniumproduction at an unpolarized electron-positron collider. We upgraded it here byadding the generation of quarkonium with polarized electron and positron beams.In addition, the production of color-singlet 2S-wave states were included.Several future electron-positron colliders with high luminosity have been underdiscussion in the past decade. Especially, their possibility of producingpolarized beams is important for providing more insights into the underlyingphysics. This upgraded version offers a useful tool for the feasibility studyon quarkonium from the experimental side.

BEEC2.0: An Upgraded Version for the Production of Heavy Quarkonium at Electron-positron Collider