This point is moot.... what is being asked here? What is the bare minimum they have to do for you to "take them back"? They haven't even ASKED to come back, yet!! We're all STANDING, for goodness sakes.... that means the bare minimum is moot, or has been met!
The real question is, how would you like your marriage to be once you are really and truly reconciled...
The reconciliation is a process that overlaps the finishing of MLC, so YOUR needs will still not be met... therefore, you will be grateful to have your husband back in your home, with the kids, AWAY from OW and that complication and embarassment...as a bare minimum.
Or perhaps the question is really, what do you hope to hear in his mea culpa speech? Cuz MINE is a big fat fantasy filled with...
"OW is a ho, skank, I was posessed because I would NEVER have been able to stomach her otherwise.... I was miserable the WHOLE TIME I was with her, and hated the sex.... could barely get it up, but was afraid to come home because I was depressed and confused.... every time I looked at her ugly mug, I thought of your beautiful face and the faces of our children.... I know I don't deserve the type of love you have shown me, but if you will allow me to, I will spend the rest of my life SHOWING you just how grateful I am to have you in my miserable life, and I will be the man I've always wanted to be, hoping to be worthy of you (even though you're not perfect, and I don't expect you to be!)..."
Then, he will get down on his knees and say "I'm unworthy, but you are the only woman for me and I'm asking if you will re-marry me (even though we're not divorced) in a private ceremony at an all-inclusive beach resort so that I can say my VOW to you , this time with a new understanding and willingness to commit to you, my true love! And, with your permission, I would like to personally apologize to our chilren, families and friends for my going off the deep end and causing you so much pain and disrespect... it's the only thing that will allow me to forgive myself..."
At this point, anything FORWARD is a good thing, LOL!!