For the three official Sochi Olympic mascots, see this post.
For the pre-selection candidates for the Olympic mascots, see this post.
Finally, for the satirical mascots of Sochi 2014, click here.
The official mascots of the Paralympic Games in Sochi are:
1) Ray of Light, alternative known as Fire Boy (in Russian: Luchik, Лучик)
2) Snowflake, also known as Snow Girl (in Russian: Snezhinka, Снежинка)