What did people of Ancient Mesopotamia eat mostly? (did they know how to grow wheat & rice, etc?)?

I was recently studying the "low carb diet" that has been so popular in past 20 years, and was reading how "our bodies have not evolved to digest carbs as much as meat and fat"...but is that true? have they known how to make bread for a long time? what about rice?
Update: WHY DO PEOPLE THAT VOUCH FOR THE "LOW CARB DIET" THINK THAT CARBOHYDRATES FROM BREAD, RICE, ETC IS BAD FOR US AND WE ARE BETTER WITHOUT THEM?
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