That is a Roadmaster brand crossbar shown. The cross bar is held on with a couple of pins and is easily removable, it is part of the tow bar. The parts that it attaches to are the actual base plates which on some styles the outer parts can be removed leaving the "two non conspicuous connections protruding from the grill" visible.
Go to YouTube and enter "Roadmaster tow bar" and you will see many tow bar installations which will show how they work.
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