Cyborg feared that if he altered anything in the past. His comment about "monkeys ruling the future" is a reference to the movie "Planet of the Apes". In the movie, a human survivor discovers the Statue of Liberty and realizes he is on earth; Cyborg's visual shows the Statue of Liberty in the background as well.
"When Cyborg says, "It's about time someone went Broze Age on your butt" is a reference to the movie "Pulp Fiction" - albeit a slighly cleaned up quote.