Minnesota Department of Agriculture Plants, Insects Insect Pests & Diseases Spongy Moth Insect Info and History Learn more about spongy moth and its history. Management View information about the MDA’s management strategy. Survey Discover how the MDA tracks spongy moth populations. Quarantine Limited permits, compliance agreements, and regulatory info. Don't Pack the Pest How to protect yourself and your yard from spongy moth. Report a Pest Report a spongy moth or other invasive pest.