Milk Moms is an accredited and authorized DME provider specializing in breast pumps and insurance billing. Most insurance plans cover a breast pump following the Affordable Care Act guidelines. How to Stop Producing Breast Milk Fast. I f you want to stop the production of breast milk, there are a lot of things you can do to speed up the process. The problem is that every person’s body needs to have a slow-down, so it’s up to your body to adjust to stop producing milk. The Mothers Milk Cooperative is the only milk bank in the country that pays women for their breast milk donation. Find out how, step by step, you can donate!