What type of energy consumption is indicated with the power rating of a device
The power rating of a device is the maximum power and is usually given in watts for real power and volt-amperes for apparent power for AC systems. Also not uncommon is the indication of active power and power factor. 

DC power will always be a real power value, as there's no such thing as real/reactive power in a DC circuit. (That could be the case with above mentioned LED device, if DC power ratings are given.)