Excuse my being way out of touch, but didn't we used to give full thrust until after "weight off wheels"?
Only Airbus is different
Eighter you go TOGA which means full take off thrust (there is no fire wall on the Airbus) or you go one detent lower, which is called Flex/MCT. In this position FADECs give as much thrust as selected on the take off performance page on the FMGS (FMS).
hth