He's portrayed by Egyptian-American actor Sayed Badreya.
Abu Bakar was a member of the terrorist group called the Ten Rings who detained Tony Stark in an effort to make him build new weapons for them. Bakar was the main contact for Stark while another prisoner worked as his translator; Bakar ordered Stark to build them a version of the Jericho missile. When Stark refused, Bakar had him tortured until he agreed to help them. Eventually Raza took over Bakar's role as Stark's contact.
Bakar was among the militants working for the Ten Rings in Gulmira, the small Afghan region that was home to Ho Yinsen. Bakar led a group of the insurgents that were killing and trucking people out of the region when Iron Man arrived in his newly constructed Mark III Suit. Iron Man killed many of the Ten Ring members there, but left Bakar alive, turning him over instead to the mercies of the residents of Gulmir