Complex sentence: He moved into larger independent productions with 2011's "Take Shelter", also starring Shannon, and 2012's "Mud", starring Matthew McConaughey, which competed for the Palme d'Or at the 2012 Cannes Film Festival.
Split into simpler sentences: He moved into larger independent productions with 2011's "Take Shelter", also starring Shannon. His 2012 film "Mud" competed for the Palme d'Or at the 2012 Cannes Film Festival.