If you are a Premium Member and if the feed owner has choosen to allow the feed to be archived, it's archived on the site for 14 days. Unless the feed archive you wish to listen to was in the last few days of July, you're not likely to find it in the archives.
There's a Premium Feed option where the broadcaster can pay $15 a month for the feed to be archived for 90 days and it's available to Premium and regular Members. But that's if the broadcaster has paid for this service.