Many crops can be used for cover crops. Cereal rye is common. Kill cover crops in the spring. Mowing or herbicide application is acceptable. Tillage is not recommended because it will bury residue.
Early kill is important to reduce the risk of depleting moisture needed for the grain crop.
Legume cover crops add nitrogen to the soil, providing a low-cost fertilizer for grain crops. 30 Maintenance Cover crops are a short term practice and are not expected to last after initial establishment. Restrict grazing if necessary. Check local recommendations.