Second, this is my 2 cents, so take it as such.
She is doing anything I ask of her so what should I ask. What should consequence look like?
I don't think a lot in terms of "consequences." Although a lot of what will happen (whether you R or D) will likely feel like a consequence to your WS, these are natural consequences of a WS breaking trust and betraying themselves, their spouse and their family. As a BS, I didn't intentionally try to create consequences fory WS.
This might just be semantics, but I think words are important because they reflect our thinking and perspectives.
Therefore, IMO, the aftermath of betrayal is about:
1) Getting out of betrayal
2) Healing
These 2 foundational concepts stand whether you end up reconciling or divorcing.
Divorcing can (hopefully) get you out of betrayal faster, but you still have to heal and work on trusting others--and yourself/your own judgement--again.
If you are attempting R, getting out of betrayal is dicier. How do we ever really know we are getting the real truth? The truth about what really happened? The truth about what is really happening now?
In your situation, verifying that your letter to the other betrayed spouse was received might help you get out of betrayal on 2 levels. It would more likely put the affair to a much more definite end--so it won't start again. It would also allow your spouse to demonstrate commitment to the truth by being willing to answer questions from the OBS...IF the OBS wants your wife's input.
To be clear, I'm NOT suggesting that you have your wife be involved in this next reach out to OBS. I strongly believe the next contact with the OBS should still come from you and should happen without your wife knowing about your plan to contact.
Flagging the move to contact the other man's wife creates way too many chances for your wife and the other man to ensure the other man's evidence is deleted and/or to collaborate on their story/timeline.
The OBS may find evidence you didn't that can prove or refute what your wife is telling you.
Afterward, you can ask your wife to be an "information confirmation resource" for the OBS--but only if the OBS believes that would be helpful.
The natural consequence of this would be that your wife has to face the OBS as a real human who has also suffered collateral damage because the affair.
In my opinion, verifying that the other man's wife received your letter is your next step.
After this step, focus on asking your wife to demonstrate actions that slowly help to rebuild trust. What are these actions? It depends a lot on the "whys" that your wife had the affair and on the methods she used to carry out the betrayal. You won't be able to name them all at once; it will be an evolving list as you heal.
[This message edited by BreakingBad at 10:35 PM, Friday, August 12th]