Diaper Packaging Plastic Bag Drop-Off Do not put diaper packaging (meaning the plastic wrap) in your recycling cart with hard plastics. The packaging can get caught in machines at the recycling facility. Instead, recycle diaper packaging at a plastic bag drop-off location. Find out more. If you are unable to take diaper packaging to a plastic bag drop-off location, place them in the garbage. Must Be Dry and Clean If diaper packaging is wet or dirty, it cannot be recycled because it would contaminate the plastic recycling. Make sure to put it in the trash. Ways to Reduce Switch to Cloth Diapers Consider switching to cloth diapers, which are more eco-friendly than disposable ones because you can wash and reuse them.