We show the relevance that molecular autoionizing states display in some recent experiments related to the symmetry-breaking in molecular-frame photoelectron angular distributions in H 2 when exposed to intense xuv femtosecond laser pulses, and others related to the electron (proton) localization when subject to attosecond pump-probe laser schemes.Our theoretical method solves the time-dependent Schrödinger equation with an spectral method that expands the wave function in terms of H 2 correlated stationary vibronic states including all electronic and vibrational degrees of motion.Time-resolved asymmetric electron angular distributions are obtained at specific proton kinetic energies due to the delayed autoionization from H 2 doubly excited states, which induces interferences between gerade (1sσg) and ungerade (2pσu) ionization channels.We also study photoionization of H 2 exposed to a xuv attosecond pump pulse plus a time-delayed IR femtosecond probe pulse.Fast alternating asymmetries in the proton ejection (electron localization) are obtained as a function of the time delay between the pump and the probe pulses.Finally, we deal with the process of (xuv) two-photon double ionization of H 2 under the assumption of having both sequential and non-sequential absorption processes.