Two molecular spin qubits are studied with pulsed electron paramagnetic resonance (EPR) spectroscopy under electric fields to assess their magnetoelectric (ME) couplings and electric spin control. [Fe3O(PhCOO)(6)(py)(3)]ClO4 center dot py (Fe-3) is characterized by strong Dzyaloshinskii-Moriya interactions (DMI) which induce important magnetoanisotropy, whereas the DMI in [Cr3O(PhCOO)(6)(py)(3)]ClO4 center dot 0.5py (Cr-3) is 1-2 orders of magnitude weaker. Fe-3 is observed to demonstrate a clear ME effect, whose intensity shows an unprecedented dependence on the molecular orientation within the electric field E (electroanisotropy) and on the relative orientations of the molecular z axis, the Zeeman field B-0 and E (magnetoelectric anisotropy). The electric control in Fe-3 is shown to be coherent, and the ME effect exhibits complex dynamics characterized by saturation and oscillatory effects. On the other hand, Cr-3 exhibits no discernible ME effect, which correlates well with its negligible DMI.