Are you asking about the Soviet government, or the people in the Soviet Union?

Tending toward the latter, Alexei Leonov, a Soviet cosmonaut, mentioned it very briefly in a dual autobiography he wrote with American astronaut David Scott. He said that while Soviet television did not cover it, the press (presumably the newspapers) gave the crew's problems a good deal of coverage. Unfortunately, he says little more than that.

For anyone interested, the biography is called "Two Sides of the Moon"; the paragraph mentioned above is slightly more than halfway through chapter 9 (page 260 in my version).