If the radio does switch on and the lighting does not, then the orange ILL wire does not receive power from the radio. As soon as the orange ILL wire receives power from the radio, the button lighting will also come on.
This is usually due to the CANBUS module, it may be that the Ford model is going to send lighting signal to the CANBUS module.
Connect the ORANGE ILL wire that eventually goes to the radio on the red ACC wire. See photo below.