Here is three plantings that will last longer when the fall temps. drop. A White Clover (I use Ladino) holds up to foraging better than red, but red grows taller. and the White survives better when the temp drops.
Rye grass will also withstand colder temps, and will usually come back in the spring.
Austrian Winter peas are quite hardy in the cold. they need to be protected when they first sprout, as the deer will pull them out by the roots. The best method I have found is to put a string fence around them with white plastic shopping bags tied to the string every 5 feet or so. Electric fence stakes will work well as the bags work best if they are about 3-4 feet off the ground. Don't know why they won't cross this fence unless the white bags give off a strange light in the night when they feed. My plot has stood up to 5° temps without any signs of freezing. I take down the fence about 1 week before deer season starts.

Russ