We experimentally investigate the single and double ionization of N2 and O2 molecules in bicircular twocolor femtosecond laser pulses, and compare with their companion atoms of Ar and Xe with comparable ionization thresholds. Electron recollision assisted enhanced ionization is observed in N2 and Ar by controlling the helicity and field ratio between the two colors, whereas the enhanced ionization via the recollision is almost absent in O2 and Xe. Our S-matrix simulations clearly reveal the crucial role of the detailed electronic structures of N2 and O2 on the two-dimensional recollision of the electrons driven by the bicircular two-color laser fields. As compared to Ar, the resonant multiphoton excitation dominates the double ionization of Xe.
