A pump-probe scheme is proposed to investigate the autoionization dynamics of the optically forbidden Q(1)(1)Sigma(+)(g) doubly excited states of the H-2 molecule. The scheme consists of a pump that contains an attosecond pulse train (APT) and an infrared (IR), pulse, which is phase-locked with the APT, and an IR probe identical to the former IR pulse. The dynainiCiFinformation is obtained by analyzing the electron kinetic energy spectra (EKE) and proton kinetic energy spectra (PICE) as a function of the time delay between the pump and the probe. The essential requirement for an efficient population of the Q(1)(1)Sigma(+)(g) states is that they are resonantly coupled to both the dipole-allowed Q(1)(1)Sigma(+)(g) doubly excited states and the ground state of H-2 by the combined effect: of the APT + IR fields.