The VOPO acceptance mark is the little sunburst under the take down lever, the barrel is an East German replacement that was manufactured in the former Czechoslovakia by the same company that had made the barrels for the Spreewerke P.38.
The guns were refinished in East Germany periodically and were not only used by Volkspolizei but also by the Betriebskampfgruppen, the worker's brigades and the technical universities and some P.08s were in use there until the fall of the wall. My good friend Peter Dietrich was trained to shoot handguns in the Gesellschaft fuer Sport und Technik in the GDR in the 1970s with one of those P08 pistols.
East Germany produced a Walther PP copy as the model 1001 and had even manufactured a few complete P.08s and many new parts in the 1950s that are very sought after collectibles and can be identified easily by the differently shaped take down lever.
Many VOPO Lugers had matching numbers, not force matched, but all were dipped and all were maintenanced by trained EG personnel from the former Haenel factory, or Wehrmacht Waffenmeister, so that the force matching was done by qualified gun smiths.