During the 1992 War of Transnistria, the commune was the center of some of the heaviest fighting between the local inhabitants and the government of the Republic of Moldova on one side, and the secessionist government of Transnistria and the Russian 14th Army, on the other. As a legacy of that war, Pogrebea today hosts one of the largest areas of unremoved landmines in the region.
According to the 2004 Moldovan Census, the commune had a population of 5,699 people, of which Coşniţa 4,996, and Pohrebea 703. Of these, 5,524 (4,829 in Coşniţa, and 695 in Pohrebea) were ethnic Moldavians, 167 (160 in Coşniţa, and 7 in Pohrebea) were ethnic minorities, and 9 other/undeclared.
In Romanian language, Pogrebă means "a basement", and -ea is a specific ending in Romanian; the addition of which means that Pogrebea signifies "the basement", while Coşniţa is derived from the Bulgarian word for "basket" - "кошница"/"koshnitsa".