The high harmonic generation (HHG) for He+ exposed to combined XUV and infrared laser fields is studied by numerically solving the time dependent Schrodinger equation. After the electron tunnels out and gains energy from the infrared laser field, extra XUV photons may be absorbed during the electron and parent ion recombination, contributing multiple cutoffs separated by XUV photon energies in the HHG spectrum. This new scenario is authenticated by analyzing the HHG in the time-frequency representation, and the power scaling of the cutoffs’ intensities as a function of XUV intensities. This new picture is a supplement to the three-step model for HHG.