What is CoF and MG?

If the item dropped while you were both in the same zone, yes.

Guys, currently i’m at COF faction. however sometimes i still got MG items from box loot…

Is that how the mech works ?

That is not how that should work at all.

The only way to get MG items when you are playing CoF would be eitehr from a different character that is MG or somebody gifting you an item that already has a MG tag.

Random drops also never get a MG tag, only traded items. For CoF only items that drop from the extra loot will get a CoF tag.

I think they may be talking about MG base items.
There are chests that drop those.

Yes, the loots dropped from chest…
and it happened twice, i did ask global chat, and got no response…

Yes, it’s intended that the chest that only drops MG base items drops MG base items, there’s one for CoF as well, though I’ve never checked if the chest-dropped items have a faction requirement.