There are no firm statistics on the number of gay Russian asylum seekers. U.S. government agencies that handle applications do not report such details. However, the Department of Homeland Security's latest figures show that overall applications for asylum by Russians totaled 969 in the 2014 fiscal year, up 34 percent from 2012.
The subject of that last clause is obviously overall applications for asylum by Russians. totaled is the verb and 969 in the 2014 fiscal year is the object of the verb with some additional information provided. Only this much I get, but I don't understand how up 34 percent from 2012 fits into the picture. Please help.