Cultural Marxism was rejected by Lenin because it would divide the people, and Stalin forced them out of the Soviet Union which is why they ended up in Frankfurt and became the Frankfurt School.
Read a book.
Cultural Marxism is a far-right antisemitic conspiracy theory which claims Western Marxism as the basis of continuing academic and intellectual efforts to subvert Western culture. - Wikipedia
There was no Cultural Marxism in Lenin's time. While Trotskyism is a Western sponsored anti-Communism.
Cultural Marxism stemmed out of the later writings of Engles and the work of Kolontai on the feminist front.
The bottom line is that this is not Marxism. Instead this is a divisive issue to mislead and divide the people. While Marxism united the working class against the controlling group. Any issue that unites people are strictly forbidden by the controlling group.
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