Also added to the Pro Bowl roster were Miami Dolphins wide receiver Jarvis Landry and offensive tackle Branden Albert as replacements for Pittsburgh Steelers wide receiver Antonio Brown and Washington Redskins offensive tackle Trent Williams.
Carr was scheduled to be an alternate for the Jan. 31 game in Honolulu before Rodgers backed out with an injury.
In Carr's second season with the Raiders, he passed for 3,987 yards and 32 touchdowns with 13 interceptions and had a 91.1 rating. Oakland finished with a 7-9 record.
The last Raiders quarterback to be selected for the Pro Bowl before Carr was Rich Gannon from 1999 to 2002. The only other Raiders quarterbacks to land Pro Bowl spots were Daryle Lamonica, Ken Stabler and Jeff Hostetler.
Landry finished the season with a franchise-record 110 catches for 1,157 receiving yards and 1,947 combined yards (rushing, receiving, returns). It will be his first Pro Bowl apperance.
Albert started 14 games at left tackle this season for the Dolphins and received the team's Ed Block Courage Award after overcoming a knee injury that occurred in November 2014.