Not correct. Mao and Pol Pot are irrelevant to the common misunderstanding about what Marx and Engels had to say about family structure and 'abolition' of the family.

The Manifesto itself was written originally in German. The word that is used is "aufhebung".

Aufhebung is "a German word with several seemingly contradictory meanings, including "to lift up", "to abolish", "cancel" or "suspend", or "to sublate"".

Not all of those definitions mean the exact same. Critical reading direct source and looking for examples becomes very important in understanding.

https://en.wikipedia.org/wiki/Aufheben

Marx and Engels wrote about the transition from family under the feudal system to family under a capitalist one. Then described the differences in family structure as it pertained to capitalism and criticized the extreme version, the bourgeoisie family.

This is directly in the Communist Manifesto, Chapter II.

"Abolition [Aufhebung] of the family! Even the most radical flare up at this infamous proposal of the Communists."

"On what foundation is the present family, the bourgeois family, based? On capital, on private gain. In its completely developed form, this family exists only among the bourgeoisie. But this state of things finds its complement in the practical absence of the family among the proletarians, and in public prostitution.

"The bourgeois family will vanish as a matter of course when its complement vanishes, and both will vanish with the vanishing of capital. "