Period
1830–1990: from the late Russian Empire through the Soviet era.
An earlier search may also be possible, depending on the region and the availability of archives.
Sources
Parish (metric) books: births, marriages, deaths;
Household books (pokhozyaystvennye knigi) of the 1930s and later;
Archive requests
How the search works
Genealogy is a step-by-step process: one clue leads to the next. Before we start, I'll tell you honestly what is likely to be found and what may not have survived.