Yes you can mop and clean your hardwood floors using Fabuloso or any other floor cleaning products when you mix it with mop water.
To clean your hardwood floors with Fabuloso take a 1/4 cup of Fabuloso cleaner and mix it in with about a gallon of water and then use your mop like normal to mop the floors.
But when you do mop the hardwood floors make sure you wring the mop out so that it's just damp and not sopping wet.
You want the mop to be just damp so you won't saturate the floors with a puddle of water which can crack and warp the floors.
Another good thing to mop hardwood floors with is Vinegar and the mop water.
But once again avoid leaving any puddles of water on the floor and make sure the floor is dried out.