The Supplementary Material is available free of charge and provided with the article. It contains information on MD and AIMD simulation setup, FC lineshape averaging procedure, experimental spectra transformation to wavenumbers and lineshapes, and unshifted spectral lineshapes of all dyes. For each dye, there are graphs showing VEEs and VDEs across snapshots, pictorial representation of E-FC methods for NR and 7MC, graphs comparing full TDDFT and TDA, as well as DFT functional comparison for vibronic lineshapes.