We scythe (using the metal blade on the strimmer) a lot of tall grass for the goats, and once they are used to it they get it wet or dry, as fresh as possible. WE usually do three to four large (sugar beet shred) sacks full and one sack does two large hayracks full. They normally get two portions per day - but I start them off on only a little in April and work up to a full hayrack over a couple of weeks. The grass is eaten within 10 minutes, then we put some hay back in.
I also cut branches whenever time allows, and also feed freshly cut comfrey.