The goal of this thesis is to bridge the gap between the two standard theoretical approaches to vibronic spectroscopy via trajectory-based methods. As the starting point, a generalized time-correlation function is introduced and the ring-polymer molecular dynamics method is generalized to vibronic transitions, yielding an improvement over known classical approximations. Further, the vibronic spectrum is evaluated via the Matsubara dynamics. Employing an ad-hoc modification, the sign problem of the Matsubara method can be circumvented and the spectra of model systems are adequately simulated.