I'm not familiar with tannic acid, so I can't help you there.  But I can give you some good general information.

Migraine trigger foods are very individual.  You might find you have no trigger foods, or weird ones that aren't common.  My only food triggers are oranges and Stevia, but I can drink diet coke and red wine and eat chocolate with no problems, even though these are common triggers.

The best way to find out what your food triggers are is keep a food diary and migraine diary.  Write down what you eat daily, and then when a migraine comes, see what foods you've eaten in the past 48 hours.  Do this for a while, and you can see if a pattern emerges.  Also, if you get a migraine pretty quickly after a certain food (say 20-60 minutes), there is a good chance it's a trigger. That's how I figured out the oranges.  

You can also do an elimination diet, though this will probably be more helpful if you've managed to get a few suspects.  Remove the offending foods, then add them back one at a time to see if they are in fact a trigger.