Avar is a language of Russia (Eur-Asia).
For more information, see SIL Ethnologue code ava.
Download the Avar New Testament in pdf format from The Institute for Bible Translation in Russia.
The "JESUS" Film, based on the Gospel of Luke, has been translated into Avar. You can view it online or order a copy from www.jesusfilmstore.org. Or order by phone from Campus Crusade at 1-800-432-1997.
If you're looking for a print Bible, you may want to try contacting the Bible Society in Russia for more information.