Trying to make sense of the number and names of Russian orchestras is-for a non-Russian speaker-an absolute nightmare. This applies both before 1991 and the breakup of the USSR and after 1991 when a number of "new"orchestras sprang up.
It's not easy even with some command of Russian as some groups choose to obscure certain details in their lineage.
I worked on a similar project a couple of years ago on rateyourmusic.com, at least the permanent ensembles should be documented well enough on that site (or were as I left them...).
I believe the "Russian Symphony Orchestra" Mark Gorenstein made recordings with in the 90s is the current Novaya Rossiya orchestra, conducted by Yuri Bashmet since 2002.
http://www.nros.ru/nros/eng/