No, Not All Food Coloring Is Vegan. Here's What We Know - Tasting Table
Briefly

Many food colorings labeled as natural may be vegan, but red colors often contain carmine, derived from cochineal insects, making them non-vegan.
Artificial food colorings pose health risks due to additives and chemicals, and they’re often not vegan either, calling into question their use in baking.
Read at Tasting Table
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