The awards were named to Aime Cesaire who's a known French poet and politician from the French West Indies (Martinique). He was known for the Négritude (Blackness) movement in French speaking countries. It united intellectuals who disavowed colonialism, racism and Eurocentrism. They used to promote African culture. Leopold Sédar Senghor who was the first president of Senegal was also part of it.
The Cesaires de la Musiques used to give awards to the best artists, writers and actors of the black diaspora from the french speaking countries of Africa, West Indies and Idian Ocean. After 2 editions in 2007 and 2008, the award got renamed into Taac (Trophee Afro Caraiben). Some critics said that it was to much centered towards the French West Indies. After 3 editions (2009, 2010 and 2011) it stopped. The last edition was in 2011 at Theatre du Chatelet where Ferre Gola gave a playback show of Tshekele Pete