According to IndieWire:

Coen Brothers and Spike Jonze regular collaborator Carter Burwell is set to return to the ‘Twilight’ since working on the first film to perform scoring duties for the final installment of the series, the two parter “Twilight: Breaking Dawn.”

Burwell has an existing relationship with the director of the final two parts, Bill Condon, having collaborated on “Kinsey” and “Gods And Monsters” and will return to the position after Alexandre Desplat followed him for ‘New Moon’ with Howard Shore stepping in for ‘Eclipse.’ Shooting began this past November all major cast members such as Kristen Stewart, Robert Pattinson, Taylor Lautner, Dakota Fanning, Michael Sheen, Anna Kendrick and Ashley Greene reprising their roles. The two parts will be shot as one project and will then be respectively released on November 18th, 2011 and November 16th, 2012. And in case you haven’t do so already, check out Burwell’s score “True Grit”; it’s ace.”

See the story on Indie Wire

We haven’t see this story appear any place else and the source isn’t cited. We are checking it out, but we might not be able to get a comment if the deal isn’t 100% signed off on yet.

Carter Burwell is the composer of the now well known Bella’s Lullaby cords that Robert Pattinson plays in the first Twilight movie.

Via KStewartNews