After the Soviet Union fell, there was a war between separatists in Abkhazia and Georgia. The former won, and de facto declared independence in 1993, and since then it has been under the control of Russia-backed separatists. However, Georgia and most of the world still consider it as part of Georgia, as is the case with South Ossetia. Now, the Abkhaz are a Caucasian group more closely related to the Adyghe or Circassian. But there is a conflict between who settled in the South Caucasus first (i.e. south of the mountainous border with Russia in Georgia). There are a lot of Abkhaz who support Russia, but there are Abkhaz people who are also found in Syria. So as is the case with a lot of the ethnic complexities of the region, there are a lot of political alignments so to speak.
But then again, I don't really feel sorry for them because they sided with Russia in the Abkhazia war. So you made your bed with them. I mean, you can't really be frustrated with corruption and frustration of Russian control since you supported them in your independence.