Introduced and native perennial grasses can do the job for you. Perennial grasses are more productive on deep soils than annual grasses as they start growth with the first fall rains and continue through next spring depending on rainfall.
Annual grasses have to germinate seed, establish seedlings, and then grow forage.
Persistence of established perennial grasses, their ability to spread and their incr3ease productivity requires rotational and or intensive grazing management. Continuous grazing with gates open will soon destroy established perennial grass strands thus losing their advantages to help you make a profit. Hardinggrass- introduced from Turkey via Australia some years following the first world war. Some existing strands in California over 20 years old. Perlagrass- released by SCS Plant Materials Center in California in the 1970's.