The cup lids and shipping box are fully recyclable. The cups themselves are not currently because they are a combination of paper and plastic.
The shipping liner can be shipped back to the factory to be recycled. A pre-paid shipping label is included in each shipment. Simply reseal your liner, place the label, and drop off at your local US Post Office.
The dry ice packs are made from carbon dioxide and turns to gas in 24-48 hours.