I think what you are looking for is a standard RBC-model. Because the main step, going from RBC to New Keynesian, is to include Calvo pricing among other things. This is covered in many textbooks like Gali's, where he first introduces the RBC model and then moves on to the New Keynesian setup.
It is total because it takes into account all output per all inputs - hence it is the total productivity of all factors.
Total factor productivity as that excerpt from Wikipedia states is given as:
that is where the total comes from. In practice, the factors used in denominator are capital and labor, but they are ...