Cattle Contract Library Act of 2021 This bill directs the Department of Agriculture (USDA) to establish and maintain a library or catalog of each type of contract offered by packers to producers for the purchase of all or part of the production of fed cattle (including cattle that are purchased or committed for delivery), including any schedules of premiums or discounts associated with the contract. USDA must make the library or catalog publicly available in a user-friendly format and provide weekly or monthly reports as applicable. The bill makes it unlawful for any packer to willfully fail or refuse to provide USDA with accurate contractual information or to comply with any other requirements under the bill. The Agricultural Marketing Service must provide competitive grants to state agricultural experiment stations, universities, national laboratories, and other entities for producer outreach and education efforts on best uses of cattle market information, including information made available through the livestock mandatory reporting program and the library or catalog.