To make things clear for all members.
There is no silver bullet when dealing with AShMs. In an ideal scenario you need 2 SAM missiles for a decent chance at taking out 1 AShM.
Thus 2 Barak 8 should be able to take out 1 BrahMos. Thus for 16 BrahMos on a ship you need 32 Barak 8.
Even then there is no guarantee of success. Recently 4 x SM6 were launched against 2 SRBM targets and only 1 kill could be confirmed by the USN.
The U.S. Missile Defense Agency, in cooperation with the U.S. Navy, conducted Flight Test Aegis Weapon System 33 in the broad ocean area northwest of Hawaii, July 24.
www.navalnews.com
Another point of consideration is the uneven size of the larger BrahMos VLS as compared to the Barak 8 VLS unit.
The only way you can add more missiles is by having a standardized VLS unit like the DRDO Ship Launcher System.
https://trishul-trident.blogspot.com/2020/07/about-minfield-breeching-solutions-ship.html
The Barak 8 has a range of upto 100 KMs. Barak 8 ER will have a range of upto 150 KMs. XRSAM will have a range of upto 350 KMs.
Thus for short range defence, we may need a new platform like the VL-SRSAM which can be easily adjusted onto our capital warships limited to 32 units.