Razvan Iosif / Shutterstock.com Pet Food Bags Garbage Bin See Alternatives Razvan Iosif / Shutterstock.com Do Not Recycle Lined Bags A good rule of thumb is that if you can’t tear the paper, it can’t be recycled. Most pet food bags are lined with paper and plastic layers that have been sealed together and should not be recycled. If the layers can be separated, do so. Ways to Reuse Dispose of Garden Waste Use these bags to contain thorny yard waste that can’t go in the compost bin and would otherwise puncture a plastic garbage bag. Package Items for Shipping Keep pet food bags around the house, so you can wrap and ship breakable items in the thick paper or plastic packaging.