The expansion contains 130 levels previously released on mobiles as part of the 'Ham 'O' Ween', 'Wreck the Halls', 'Birdday Party' and 'Piglantis' updates.
Players who download the DLC will also gain access to the new Orange Bird, which expands to an enormous size to wreak havoc on levels.
Angry Birds Trilogy, comprising Angry Birds, Angry Birds Seasons and Angry Birds Rio, was released for Xbox 360, PS3 and Nintendo 3DS in October.
Developer Rovio recently released the latest entry in the series, Angry Birds Star Wars, through Facebook.
The 'Anger Management' DLC pack is priced at 400 MS Points on Xbox Live and $4.99 (£3.00) on PSN.
> Read Digital Spy's review of Angry Birds Trilogy
Watch a trailer for the 'Anger Management' DLC update below: