The sex ration of completed suicides in the USSR as a whole between 1984 to 1990 was 3,9 men to 1 women.

That is, near exactly the same as in the 'capitalist' world then, and now.

(In the Slavic-predominant part of the USSR, that is Russia, Belarus, Ukraine, it was an even worse 4,6-to-1. Somewhat lower in Central Asia at ~2,7-to-1).