Both are big suspense dramas and both the same concept of deceiving your partner in a way. Also, the main characters have quite the past.
"Hi bye, mama" is about a loss, a mother losing her child. Not for the fact that she can't touch, or she can't be with her child, but for the fact that for your child, you are not her mother anymore. The fact that you gave birth to her, doesn't change the fact of your absence in your child's life, and "Lie after lie" portrays exactly that. That your absence, even if it's not your fault, changes evrything.