It sounds like they are having a closer look at your application, this is likely to be a result of some other investigation into your affairs from some other Department or government body, or as a result of information received by the Department that you have other money that you have not declared.
Your claim will not be processed until you provide the information/consent required. The consent form that you fill in does not given them the authority to look into anyone else's accounts than your own, although if the authorities are looking into your affairs, it may be that they are looking into the affairs of whoever lives with you. There is nothing you can do about that if that is the case.