Vareniky are dumplings that are filled with sweet or savory filling. The name varenyky, simply means "boiled things".
Vareniky are part of the national Ukrainian food, just like Russian Red Borscht Recipe. There are many restaurants in Ukraine that are serving Vareniky, they come with a wide variety of either savory or sweet fillings.
The process may look endless, but its well worth your time. Uncooked Vareniky can be stored for several months in a freezer.