Green’s Dictionary of Slang

(US) to impart information that is insincere or aiming to impress.

1899		Ade Fables in Sl. (1902) 28: He would have to hand out a little Guff.
1908		B. Fisher A. Mutt in Blackbeard Compilation (1977) 55: The jinks held by the prosecution club last evening was a great success [...] A. Mutt is not a member of the club but he ‘crushed in’ long enough to hand out a recitation.
1916		C. Sandburg ‘To a Contemporary Bunkshooter’ Chicago Poems (2004) 29: I’m telling you Jesus wouldn’t stand for the stuff you’re handing out.
1920		Ade Hand-made Fables 53: He was a Great Hand at reading Papers to the emancipated Suffs and they would almost get what he was Handing Out.
1934		T. Wood Cobbers 41: Who’s been handing you out stuff about slings? Slings be blanked.
1962		R. Russell Case against Satan 23: ‘I don’t swallow everything the Church hands out, I got a mind of my own, but you can’t say the Church is like Communism!’.
1981		W.D. Myers Hoops 11: Her mother came back with [...] the usual noise people be handing out when they come up short.