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RAVEN knows that she is going to be the portal of the end of the world. When she and Robin begin to fall for each other, she thinks it best if she puts distance between them because she knows something bad will happen to Robin if she doesn't. So she begins to date Cyborg and acts cold towards Robin.
She has a vision of how Robin will suffer defending her from Slade and that strongly confirms her decision to stay away from her.
ROBIN can't seem to understand what he could've done to make Raven act so cold towards him. He tells her he loves her and she still chooses Cyborg but he tries again. (persistent Robin)
RAVEN has another vision of him dying trying to save her. (Not Shown) She writes him a letter and he reads it and goes to look for her. (the purple words towards the end is the letter)
Raven decides to die in order to save Robin and Robin tries to stop her....