Diaper Packaging Landfill (Trash) Cart Plastic Bag Drop-Off or Landfill Cart All film/soft/flexible plastic like diaper wrappers belong in the landfill cart or can be dropped off at a plastic bag drop off location, if clean. Interested in a reusable cloth diaper service? Check you Diaper Wagon, which services Napa. 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.