Eve pretends to be Lilith to break up her family!
We know Lilith was the first woman
And Eve was a replacement of Lilith could it be that they look exactly alike? Except their hairstyle?
And Eve's smile is identical to the Lilith trading card and both have their faces hidden!
And lets take a look at Lilith In her different hairstyles. This one she is happy and she has her ring on (the old photo didn't give her or Lucifer a ring so I assume the team didn't decide on giving them rings yet)
And lets take a look at Lilith with her other hairstyle. Take note she doesn't look happy in the photo and she takes Charlie away from Lucifer in the clip while her face is hidden
I think Eve has taken Lilith's place and took her far away so she could destroy the Morningstar family and have the extermination happen!
And we Know Lilith loved encouraging demonkind and Lucifer let the extermination happen, I don't think Lucifer would do something Lilith would obviously be against in so easily. Eve gave him depression and made him feel his love Lilith no longer cared and probably even more so when she's been gone for 7 years to his knowledge