One of the T/Rs was inop and deactivated. It would be understandable that the crew may have deployed the operative T/R after ground contact in an attempt to reduce speed.
Regarding reasons as to why the t/o warning never sounded: As I recall, there is a weight on wheels switch on the nose gear called "ground shift", which tells the aircraft whether it is on the ground or airborne (which most jets have.) If the jet senses that it's airborne, certain things work and certain things are inhibited.
The Spanair jet came back to the gate after the crew noticed that the RAT probe was heating up. The RAT probe is one of those things that is inhibited on the ground and only heats airborne. The mechanics supposedly disabled the heater by probably pulling the breaker, and they taxied back out again. There is a possibility, not yet proven, that the RAT probe was heating not because of a heater fault, but because the ground shift switch itself may have been faulty, indicating the jet was in "air mode."
IT IS PRESUMED that the crew, which had retracted the flaps/slats on taxi in, may have forgotten to redeploy them on taxi out number 2. Now, if they indeed forgot to deploy them - and the faulty ground shift switch was in "air mode" - when they went to apply takeoff thrust, the takeoff config warning system would not have sounded - because that system is ALSO inhibited when the jet is in "air mode." The takeoff config warning yells really loudly "FLAPS... SLATS..." when the throttles are moved forward, if they are not extended.
Just speculation, but it fits reasonably well.
May they rest in peace.
73