Initially this abandonment of Intel/AMD CPUs only appears to be aimed at government/state-owned systems and in the near-term aren't any plans to abolish US-made hardware or any import bans. The new Russian-made processors are called "Baikal" and designed by T-Platforms in cooperation with Rostec and Rosnano. The Baikal name for the processor is in reference to Lake Baikal, the deepest fresh water lake in the world.
The first Baikal chips are said to be 64-bit Cortex-A57 designs that run at 2GHz, but no core count information or other details were shared in the article now being widely cited at ITS-TASS.com. The Baikal hardware should begin appearing in 2015.
Once the Russian-made Baikal chips are available, you can bet to find Phoronix Test Suite numbers on OpenBenchmarking.org.