Russia, which has a large Azerbaijani diaspora, gave the maximum 12 points to Azerbaijan's entry, a schmaltzy ballad from crooner Farid Mammadov, which eventually came second behind Danish winner Emmelie de Forest.
Garipova, who was chosen to represent Russia at the glitzy event in Sweden after winning a national talent show, finished in fifth position.
Once known for politicised voting, Eurovision has sparked its fair share of boycotts, bitterness and international backbiting.
Last year Azerbaijan - which was hosting the event - squabbled with neighbouring Iran after Tehran alleged the country was hosting a gay pride event under the cover of the contest.
That spat came after Azerbaijan's arch-foe Armenia decided not to participate in the competition.
Relations between oil-rich Azerbaijan and Russia have cooled in recent times with strongman President Ilham Aliyev determined to turn the former Soviet state into an alternative gas supplier for Europe.
- AP