If your mum is Syrian and your father is Iraqi,
then you are genetically from both Syria and Iraq.
All lands had invaders, and invaders almost always affect genetics.
Before Iraq became a country it was invaded by Persians and Greeks, then by Muslims, Mongols, and the Turks.
Before Syria became a country it was invaded by Persians, Greeks and Romans, then by Muslims, European Crusaders, Arabs and the Turks.
Here are your genetics, from most potent to least potent:
1. Iraqi, Iranian/Persian, Turkish, Syrian. 75-90%
2. Greek, Israeli, Arabic. 5-25%
3. Mongolian, European, Roman. 1-4%