Is there a way to create a CFrame which is looking at a position while its rotated?

I am trying to create a CFrame which is looking from vector3.position to a different vector3.position while its rotated with a different cframe orientation.

I've got it to work but it wasnt working as expected it sometimes faded to the left or to the right it wasnt working perfectly.

Please help me with this i' am struggling with this for about 2 weeks now.