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The present article exhibits a theoretical exploration of vibronic coupling effects in the 193 nm experimental photoelectron spectra of the LiB$_6^-$, focusing on its six lowest-lying electronic states. Based on adiabatic potential energy curves derived from ab initio calculations, we construct a diabatic vibronic Hamiltonian and perform nuclear dynamics by adopting TD and TI formulations of quantum mechanics, treating in adiabatic (uncoupled) and non-adiabatic (coupled) scenarios. In this study, Poisson statistics provided vibronic intensity progressions from an adiabatic perspective, and the rapid transfer of electronic population confirmed the magnitude of the non-adiabatic coupling. Our final simulated spectrum reproduces the peaks of the experimental spectra in good agreement, providing the detailed vibronic interpretation of the photoelectron spectrum of LiB$_6^-$.