Wow he's so unique!! I was gonna say an inbred crowntail. I have a combtail-ish betta named Bowser and his fins are more like a comb than Barakus. I'm certainly no expert on the matter but I think combtail is a cross between VT and CT. (Bowser is 3 parts CT and 1 part VT).. But with all the strange breeding done in mills it's hard to say. Barakus looks like he could be crowntail but carrying more VT than CT. That's just my opinion.
Keep the water nice and clean to avoid curling (which is common in CT's kept in dirty water) And as someone else mentioned, IAL would help him as well. You can buy them on ebay for cheap.
Here's my combtail, not the rays extend almost to the end of the fin: