I'm pretty sure that's a rinse aid filler and dispenser. The one without the holes probably twists open to fill the reservoir with liquid rinse agent, and I'm guessing the one (below it when the door is closed) with holes is the reservoir's dispenser. I can see streaks below the dispenser that are typical indicators of rinse agent.
I've owned a Thermador dishwasher which was made by Waste King, but it was newer than yours and had a different rinse aid system, but I can't imagine any other function for those two things.