Awarding of Commemorative Medals for the WW2 campaigns was carried out until the fall of Soviet Union, and very likely also after the USSR had disappeared. I have seen an awarding booklet for Defense of the Polar Region dated 1995.
The term "Voenkomat" is often associated to a specific variation of the medals, corresponding to the Type 3 on most of the WW2 commemorative medals, which started being manufactured in the early 60-ies. In 1960, most of the WW2 veterans had already left the army, therefore late awards had to be collected at the Military Commissariats.
The suspension ring struck with the coin is the most important feature. Its implementation required completely new dies, both for the avers and the reverse of the medal. The font of the letters in "For our Socialist Motherland" changed in many details (see the picture with a side-by-side comparison between a Type 1 and a Type 3). The Defense of Kiev is a clear example of Voenkomat medal, since the award was instituted in 1961, and the medal only exists in the type 3.