Couldn't find a single trace of soviet usage of the molotov coctail. Of course, the soviets named them differently, but I don't know what was their russian name.
Young Padawan, you must improve your Google-Fu.
http://www.battlefield.ru/en/articles/344-molotov-coctail.html
You know it's named after a Russian? Supports the use of it by the Soviets. I've seen documentary footage of these things being made by the thousands in Soviet distilleries. I was most impressed with the chemical fuses, requiring no pre-lighting.