I am making publication via [FBWebDialogs presentFeedDialogModally...] It works fine. But if I delete application in the facebook settings and try make post again, I
You can either add your FacebookAppID to the passed parameters, as nick suggests. Or make sure your FacebookAppID is in your plist info file.
Add a string key: FacebookAppID with the value of your Facebook App ID. Then the SDK can automatically add your app id for use everywhere else.