The light unflavoured meson η/η^' decays are valuable for testing non-perturbative quantum chromodynamics and exploring new physics beyond the Standard Model. This paper describes a series of event generators, including η/η^'→γ l^+l^-, η/η^'→γπ^+π^-, η^'→ω e^+e^-, η→π^+π^-π^0, η/η^'→π^0π^0π^0, η^'→ηππ and η^'→π^+π^-π^+π^-/π^+π^-π^0π^0, which have been developed for investigating η/η^' decay dynamics. For most of these generators, their usability has been validated in BESIII analyses for

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... ing the detection efficiency, and background studies. The consistency between data and Monte Carlo shows that these generators work well in the BESIII simulation, and will also be useful for ongoing BESIII analyses and other experiments for studying η/η^' physics.