I think that Shostakovich's 10th Symphony was performed at the same concert (Svetlanov). There is a recording of it and the way in which the opening bars of the Symphony emerge from the angry shouts of the Prom audience ('Go Back Home!' etc) is quite extraordinary:

I haven't heard the Shostakovich 10th Jeffrey, but would love to.
From the liner notes of my BBC CD (which are quite fascinating and moving to read), the concert opened with Glinka's Overture to Ruslan and Lyudmila, followed by Dvorak's Cello Concerto. Rostropovich then offered an encore of the solemn Sarabande from Bach's Second Suite. After the interval, Svetlanov conducted "the most coruscating, gut-wrenching performance of Shostakovich's Tenth Symphony that this writer has heard in 45 years of concert-going." Tully Potter wrote the liner notes.
I believe that the Bach piece was sadly not recorded. Note: the BBC Legends CD that I have has a recording of Schumann's Cello Concerto with the LSO and Benjamin Britten conducting followed by the Dvorak with the USSR State Symphony Orchestra and Evgeny Svetlanov followed by Tchaikovsky's Pezzo capriccioso for Violoncello and Orchestra again with Britten and the English Chamber Orchestra.
Is the Shostakovich recording that you've heard (have?) also on the BBC Legends Jeffrey?
PD