The process of cutting fresh or succulent grass and legume from the field and taking it to the animals in their pens is called

Soilage (also called zero-grazing or the cut-and-carry system) is the practice of harvesting fresh, succulent forage - grasses and legumes - directly from the field and transporting it to animals confined in their pens or stalls. The forage is fed while still green and fresh, without any preservation process.

Hay is forage that has been cut and dried to reduce its moisture content for long-term storage; it is no longer fresh or succulent. Silage is forage that has been cut, compacted, and stored under anaerobic (airtight) conditions so that it undergoes fermentation; this is a preservation method, not fresh feeding. "Folder" appears to be a variant of fodder, which is a general term for any feed given to livestock, not a specific feeding system.

The key distinction is that soilage involves fresh, unprocessed forage taken directly to the animals, whereas hay and silage both involve a preservation step before feeding.