From what I've read, the Fallshirmjagers got shot up pretty badly in Holland, Kurt Student as well and were not yet up to Divisional strength.

Furthermore, I'd hate to see what RAF Fighter Command would do to hundreds of Ju-52 transports that were transporting the Germans, plus some gliders for a drop over England.

It appears that they would have been used as a blocking force at strategic road junctions into the port of Dover, also to be used in seizing several airfields in the South of England.

Unfortunately, by mid September, 1940, the British Divisions located in the area were no longer the weaponless, "ghost formations" that they were following their recovery from Dunkirk. Much of their TOE had been restored by the British War industry in the intervening months.

I can't see how the Germans could hope to succeed in such an endeavor, given the air superiority the RAF enjoyed and the supremacy the Royal Navy had over the much smaller elements of the Kriegsmarine committed to the operation.

I think it would have resulted in a German massacre, killing tens of thousands and putting many more than that into British POW cages.