Answer:

For puffiness or under-eye bags, try EyeWonder® eye pads. Soothing homeopathic ingredients plus cucumber extracts smooth and shrink delicate tissues around the eye. Alternatively, you can try a cold, wet tea bag over each eye (about 10 minutes should do).
After applying makeup, apply highlight (on top of your foundation) with a fine brush to the crevice at the bottom of the under-eye bag. The highlight will lessen the shadow, visually flattening the puff.