Reports are unclear whether Abu al-Khayr al-Masri survived an attack on a car in Idlib province.
Once repaired, the bridge could help the Iraqi government bring in reinforcements and supplies.
Director Asghar Farhadi's The Salesman won best foreign language film but he boycotted the awards.
So-called Islamic State turns to drones in fight for Mosul
The man turning pebbles into pictures of the war in Syria
What it's like to be in western Mosul at the moment
One woman's escape from 'Islamic State' in Raqqa
Rising risk of showdown between Trump and Iran
What does new ruling mean for Lebanon's LGBT community?
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What do they do inside the House of Lords?