Okay, hold onto your hats:

Fenby’s ‘History of Modern China’ is epic and magisterial but far too long for this (goes back to the mid-1800s), while McGregor’s ‘The Party’ is good for post-‘89 but doesn’t really touch the topics you’re interested in.

Richard Kraus’ books ‘Very Short Introduction’ series is apparently excellent.

Two I’ve not read but come recommended:

The Cultural Revolution: A People’s History, 1962–1976 – Frank Dikötter

Tombstone: The Great Chinese Famine, 1958-1962 — Yang Jisheng (not strictly what your internet stranger asked about, but the roots of the Cultural Revolution are surely to be found in Mao’s Great Leap Forward.)

Finally there is also a doco ‘China’s Cultural Revolution: The Full Story’ - on YT/NewPipe etc. - quite good!

I hope you find some answers to your queries!