The gun is interesting. It is similar in concept to the ACR trials the US Army had a few years back. IIRC, that didn't lead to anything in the US much as the Abakan won't lead to much in Russia.
The problem is that the mechanism is not as reliable as the AK-74 that it intends to replace. There is dubious value to the two-round burst. In theory, it increases the possibility of a hit by allowing both shots to fire before the gun climbs any. With the Advanced Combat Rifle, this method was also explored by using duplex (multiple projectile) ammunition, tiny nail-like Flechettes, and caseless ammo.
The HK G11 combined caseless ammo with a novel recoil system more complex than that of the Abakan. The G11 action recoiled inside the stock for the first three shots and then returned completely forward. In theory, that meant three shots to the same point of aim. In practice, the gun LURCHED off the firer's shoulder following the burst preventing fast follow-up bursts.
HK Pro Link to the G11 with video of gun jumping off shoulder!
The Abakan tries to back off of this revolution but nobody has yet to prove that two shots are better than one in this realm. Market forces are more likely to kill the Abakan. With the world replete with rifles like the AK-47, AKM, AK-74, AKSU-74, M-16, M-4, etc, why whould anybody want anything else? Modern armies are more likely to embrase evloutionary guns like the HK G-36 and the Israel/Croatian Tavor than a dubiously revolutionary system that remains untested like the Abakan.
... But I still want one!