Most likely, the Exarch was looking specifically for the Scions, and since Lyse wasn't one anymore, she was left out. (One assumes that Tataru and F'lhamin were left out because he was looking for fighters and they're noncombatants, and Krile and all of the minor Scions like Hoary Boulder, Coltenet, or Arenvald just weren't important enough to remember.) I don't know how much more can be gone into without spoilers.