Baños graduated from Boston's Berklee College of Music in 1995 and has since scored both Spanish and English-language films.

In 1986, Baños moved to Madrid where he attended the Real Conservatorio Superior and continued his musical studies, obtaining professional degrees in the saxophone, piano, harmony, counterpoint, composition, instrumentation and conducting.

There, he studied music composition with David Spear and orchestral direction with Gregory Fridge, specializing in composition for film scores and jazz, winning several awards, among them the Robert Share Award for showing the highest dramatic level in the area of film score.

Back in Spain, after a brief period in the short film scene, he began to compose for the big screen thanks to actor Gabino Diego.

His music is notable for a great jazz influence, as showed in the majority of his works and especially in El robo más grande jamás contado (The Biggest Robbery Never Told).