If they go down when you turn off the power then it is a transistor or mosfet stuck.
Would advise to change to coils too.
It is very strange if BOTH of the flippers do that
Turn the machine on, start again - DO NOT PRESS FLIPPER BUTTONS. Close coin door.
Move the flipper bats up manually - if you feel the magnetic field 'click' and hold the flipper up it is circuit board issues.
As David said - you need to tell us if its Stern or Bally/Williams.