The under construction INS Vikrant project was previously code named Air Defense Ship, long range fleet defense is to depend on carrier borne air crafts not on anti aircraft SAM Barak 8 would be basically to defeat incoming threats upto supersonic CM.
Air borne aircraft are not nearly as effective against anti-ship missiles for a couple of reasons:
1) They have to be in the right place. Attacks can come in from 360 degrees and if they are out on the wrong threat axis, they will not be able to respond.
2) Air launched air to air missiles are not as effective in intercepting anti-shipping missiles.
The best defense are SR, MR, and LR anti-missile missiles, established in a multi-layer, umbrella around the critical vessels, ie. the carriers. All of the ant-shipping missiles, from whatever threat axis, will ultimately be converging on the capitol vessels.
The Vikrant itself is meant to employ a 32 cell VLS system for Barak-8 missiles for this reason. With the Kolkatas, the newer FFGs and the carriers themselves, the Indians will establish such an umbrella out to 70km. My bet is, like the standard missile, they hope to upgrade the Barak-8 to an ER version at some point in the future.
They really need, as Bltizo said, a LR capability out to 120-200kim.