Born in Sagua la Grande to Manuel Ascunce Hernandez and Evelia Domenech Sacerio, Ascunce grew up with his family in Havana, where he attended primary and secondary school in the Luyanó neighborhood.

In the early 1960s, he joined the Asociación de Jóvenes Rebeldes, formed after the Cuban Revolution, later joining as a brigade member for the National Literacy Campaign of Cuba, specifically to the "Conrado Benítez" brigade.

[1] In his brief career as a literacy educator, he moved to the mountains to teach night classes, while during the day he helped locals in the fields.

[2] He was captured and subsequently murdered in 1961 by a group of Cuban counterrevolutionaries under order of Julio Emilio Carretero Escajadillo while staying at the home of his student Pedro Lantigua Ortega, who also was killed.

[3] In December of that year, he was commemorated by Fidel Castro, along with others who died during the literary campaign.