I had done this lilac/plum look on one of the weekend. I have tried to break down the steps using pictures although I am not sure how helpful it is.
Apply the plum/lilac color eyeshadow all over the eyelid. I have used MAC Noir Plum from the Peacocky Collection
Apply a matte brown eyeshadow in outer crease. This can be intensified depending what you are after
Now as apply any black Kajal on the waterline and lower lash line. Then smudge it only at outer corners using the lilac/plum eyeshadow.I have used Stila Kajal.
Please let me know in comments what you think of this