Logged in as Admin, I can post to Classifieds (actually haven't tried it, but at least the New Post comes up).
Logged in as Subscriber (with Ultimate Facebook registration, with BuddyPress installed), upon logging in, I'm taken to the Dashboard. To the left, there's a "Classifieds" menu link. Then I click the post new classifieds listing link and get this error: "You do not have sufficient permissions to access this page." (i.e. no New Post comes up)
But at my BuddyPress user profile for Classifieds ( website.com/members/username/classifieds/create-new/ ), it shows the form for me to post a new listing.