Ascofaré was a radio host until 1978, at which point he became a teacher at the Institut National des Arts in Bamako. In 1984, he received a diploma in film studies from the Moscow State Institute of Cinematography, and in 1985 he joined the Centre National de Production Cinématographique in Bamako as a director.
Beginning in 1991, he produced several short films, and in 1997 he produced his first full-length film, Faraw, une mère des sables (Faraw, a mother of the sands), which retraces twenty-four hours in the life of a Songhaï woman. Faraw won the Golden Bayard for Artistic Creation at the 1997 NamurFilm festival.
As a poet, he has published Domestiquer le rêve (Domesticating the Dream).