Turning over but not firing or catching would most likely illuminate battery and starter. Your car has distributorless ignition, two ignition coils supply spark to the spark plugs through 4 spark plug wires. If one spark plug wire or even two had failed you would expect the engine to at least make an attempt to fire.
TO many things can cause the engine not to start, sensors supplying inputs to the fuel injection computer telling the computer the engine is cranking and where the pistons are in relation to valve opening are key to the Fuel/Ignition computer controlling when spark and fuel injectors fire. Sensors also control fuel pump operation. Problem could also be engine mechanical related.
Hard to say with out being able to do tests first hand.