According to this Wiki they have Ruskie aircraft for the most part (pre-civil war).
http://en.wikipedia.org/wiki/Syrian_Arab_Air_Force
Mig-29, 25, 23, and 21,
Su-24, 22.
National Review Online is reporting that the aircraft was an F-16.
Also, that was a Jordanian plane, that was shot down, you are correct about Syria’s Air Force.