The only way I can interpret it is that: (1) Berger went back more than once and took documents on more than one occasion. (2) They marked documents as a means to prove beyond doubt who was stealing them. In other words, the marked documents were part of a sting operation.
There are specific procedures followed to change classified documents. You don't just take out an eraser or substitute a page in an already logged document. Any such change in itself would be enough to send him to the big house.