A method for processing value documents with the aid of a value document processing apparatus, a) inserting one or several input stacks of value documents in an input pocket of the value document processing apparatus, b) singling the value documents from the input pocket by a singling device of the value document processing apparatus, c) initial checking of the value documents by at least one sensor of the value document processing apparatus, d) transporting the value documents in dependence on results of the checking and sorting the value documents into different deposit pockets of the value document processing apparatus, wherein reject value documents are separated from the valid value documents and deposited in a reject deposit means, e) transporting the reject value documents back from the reject deposit means to the input pocket with the aid of a reject transport device and re-inserting the reject value documents in the input pocket, f) repeating the steps b)-d) to check the reject value documents again, characterized in that - the reject transport device has several reject transport units which each have an individual machine-readable identifier, - the reject value documents of the different input stacks are deposited separately from each other in different reject transport units and are transported back to the input pocket of the value document processing apparatus in the different reject transport units, - the reject transport device has a reader for reading the machine-readable identifier of the reject transport units, - the machine-readable identifier of the respective reject transport unit read by the reader is employed for assigning the reject value documents of the respective reject transport unit to the input stack to which these reject value documents belong. a) inserting one or several input stacks of value documents in an input pocket of the value document processing apparatus, b) singling the value documents from the input pocket by a singling device of the value document processing apparatus, c) initial checking of the value documents by at least one sensor of the value document processing apparatus, d) transporting the value documents in dependence on results of the checking and sorting the value documents into different deposit pockets of the value document processing apparatus, wherein reject value documents are separated from the valid value documents and deposited in a reject deposit means, e) transporting the reject value documents back from the reject deposit means to the input pocket with the aid of a reject transport device and re-inserting the reject value documents in the input pocket, f) repeating the steps b)-d) to check the reject value documents again, characterized in that - the reject transport device has several reject transport units which each have an individual machine-readable identifier, - the reject value documents of the different input stacks are deposited separately from each other in different reject transport units and are transported back to the input pocket of the value document processing apparatus in the different reject transport units, - the reject transport device has a reader for reading the machine-readable identifier of the reject transport units, - the machine-readable identifier of the respective reject transport unit read by the reader is employed for assigning the reject value documents of the respective reject transport unit to the input stack to which these reject value documents belong. - the reject transport device has several reject transport units which each have an individual machine-readable identifier, - the reject value documents of the different input stacks are deposited separately from each other in different reject transport units and are transported back to the input pocket of the value document processing apparatus in the different reject transport units, - the reject transport device has a reader for reading the machine-readable identifier of the reject transport units, - the machine-readable identifier of the respective reject transport unit read by the reader is employed for assigning the reject value documents of the respective reject transport unit to the input stack to which these reject value documents belong.