mana burn and eldrich battery

es does not protect mana from mana burn is this abug or what ? kindly support

Eldritch Battery makes ES protect Mana instead of Life (damage is taken from ES before the protected resource). Mana burn is not damage, and therefore isn't taken from ES first.

Eldritch Battery also makes you spend ES before Mana for skill mana costs. Tinctures are not skills, and Mana Burn is also not a cost, so Eldritch Battery has no effect here either.

then they keystone description is wrong it stats es is protecting mana but its not protecting it , and what dou you mean by damge to mana skill costs does not damge the mana pool its using it so why wouldint it work with mana burn if its a type of dmg to mana then it should protecti it even more , whats the poit of have it if it does not work.

It works exactly as it was designed, and not the way you want it to. Mana burn is not damage, it is loss. And there are plenty of other examples of loss in the game that are all classified as non-damage. If it easier to understand, loss is just the opposite of regen. If you have 200 mana regen and 100 mana loss, you have net 100 mana regen.

Either intentionally or unintentionally, they are avoiding whatever abuse case you are wanting to take advantage of. Low maximum mana, high ES with EB, with ES regen, and you can sustain hundreds if not thousands of mana burn stacks.

If you want it changed, here is the Feedback section. But it is working as designed, not a bug.
https://www.pathofexile.com/forum/view-forum/feedback

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inverse1982#2719 wrote:

then they keystone description is wrong it stats es is protecting mana but its not protecting it

"Protecting" here means "takes damage before".
You can take damage to Mana if you have modifiers that would cause that to happen, such as found on the keystone passive Mind Over Matter or the Heirophant ascendancy passive Divine Guidance.

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inverse1982#2719 wrote:

and what dou you mean by damge to mana skill costs does not damge the mana pool its using it

Eldritch Battery has two modifiers changing Energy Shield's behavior:
"Spend Energy Shield before Mana for Skill Mana Costs" - this is why skill costs come from ES before Mana.
"Energy Shield protects Mana instead of Life" - Again, protects means it takes damage before. Other forms of loss are not taken from ES before the protected resource: for example, if ES is protecting your Life and you use a skill with a Life cost, you do not spend ES before Life.

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inverse1982#2719 wrote:

so why wouldint it work with mana burn if its a type of dmg to mana

Mana burn is not damage.
Damage causes you to lose a resource, but not every loss of a resource is considered damage.

Petrified Blood is a good example of this: the life loss that is delayed by Petrified Blood is not damage, and thus isn't taken by ES first, nor is it taken by Mana first if you have Mind Over Matter.