  Effects of the laser pulse wavelength and intensity on the HHG production
from the \textit{ionic} and \textit{homolytic} pre-ionization transient states
of the two-electron H$_{2}$ system exposed to ultrashort intense laser pulses
are studied by solving time-dependent Schr\"{o}dinger equation. It is found
that for the populated homolytic species in each half cycle of the laser pulse
having enough strength, a pair of strong and weak HHG radiations are produced
simultaneously. For the populated ionic species divided into two regions, in
each half cycle, one of the ionic regions has a strong radiation and the other
ionic region has a weak HHG radiation. The HHG spectra of the homolytic and
ionic species are almost similar, except that in some limited parts of the HHG
spectrum, one of them dominate the other.
