Minou is daughter of Dominican lawyers and activists Manuel Aurelio Tavárez Justo and María Argentina Minerva Mirabal, both founders in 1960 of the clandestine movement 14 June that sought the overthrow of dictator Rafael Trujillo. Her mother was assassinated by the dictatorship on 1960, and her father was murdered by the Triumvirate (three-member junta) that overthrew Juan Bosch’s legitimate government in 1963, becoming an orphan at the age of 7 years. Her parents are considered as martyrs and national heroes.
Tavárez is cousin and foster sister of Jaime David Fernández Mirabal, a former vicepresident of the Dominican Republic.
She was Vice-Chancellor of the Dominican Republic for the period 1996-2000. She was elected Representative to the National Congress for the period 2002-2006, and re-elected in subsequent periods 2006-2010 and 2010-2016. She is President of the Committee on Foreign Affairs and International Cooperation of the House of Representatives, and member of several other committees.