In his memoirs, Nikita Khrushchev mentions various "interesting and peculiar situations", including an occasion of him using this expression while mentioning that it was not the first time it confused the translators.[1] The footnote in this volume to this item says that the 1999 Russian edition gave a mistaken "scientific etymology" of the expression derived from the folk name Kuzka the bug of a pest insect Anisoplia austriaca, who winters burrowed deeply under in the soil, so it is hard to uncover it. The editors of the English version claim that it is a guesswork of the annotator.

Viktor Sukhodrev (Виктор Суходрев), a personal interpreter of Khrushchev and later Alexei Kosygin, in his interview says that Khrushchev first used this expression in public when addressing Richard Nixon in 1959, who was attending the opening of the American National Exhibition in Sokolniki Park exposition centre, Moscow. During a discussion about communism vs. capitalism Khrushchev boasted that the Soviet Union will "catch up with and outrun" (догонит и перегонит) the United States, and "we shall show you Kuzka's mother". The interpreter was stunned and said something literal about the mother of Kuzma.[2]

Phraseologic dictionaries from the 19th century record other versions of the saying about Kuzka's mother, such as "to let someone know Kuzka's mother name".[3]