Eldritch battery not working with some interaction , intended or not ?

Hi its looks like eldritch battery convert only ES flat from gear not from other source like this Atziri's Disdain gold circlet who give 25% max life as ES is not converted to mana , or % energy shield from tree apply after the conversion into mana ? because increase ES do not scall mana from EB.

Not a bug. If you view the Eldritch Battery node in the passive skill tree and hover over the word "convert" it clearly states that the conversion only applies to your base ES. It means that it converts ALL of your base ES. That doesn't stop items from converting life to energy shield after the fact, which is what happens in this case.

So order of operations as intended is:

1. Base ES is converted to mana by Eldritch Battery
2. Ghostwrithe or Atziri's Disdain convert life to ES
3. Everlasting Gaze adds ES based on base mana
4. Percentage increases from skill nodes are then applied to both ES and mana

These are intended interactions which many people have mistakenly interpreted as a bug because they haven't read the "convert" tooltip on the Eldritch Battery node.