Ok - I don't see why this is necessary. If there's a guy who has the mental state of he is really a woman, why wouldn't he/she hear that greeting and be satisfied with the "ladies" part ? And vice-versa for a she/he.
I just read an article about a born-female that identifies as a male that is transitioning to being a female. (No - never transitioned to being a male - just thinks she is one.)
I was thinking she might get offended. But then thought, upon hearing “Ladies and Gentlemen” they might think “Hey - that’s ME!”