BS here.
I think the short answer to your question is to display your remorse by your actions rather than your words.
I know we are all different and what "works" for one may not work for another. But, certainly in my situation, I want to SEE that my husband is deeply remorseful rather than hearing "I'm sorry" The words are so easy to say, but putting those words into action is a lot more difficult and IMO shows the true level of his commitment to us. (Also, "blanket apologies" do nothing for me....he can say "I'm sorry" a million times a day... means zero. IMO an apology should be specific and should include a commitment to not do the same thing again eg. "I am sorry I did (insert specific thing) to you, I can see it was wrong of me and very hurtful to you and I will ensure that I never do that again.)
Speaking from my experience, one of the biggest causes of conflict between my fWH and me has been that he is extremely good at doing all the easy stuff (saying "I'm sorry", giving me hugs, feeding the dogs etc etc) but then overlooks the tough stuff. And I think this is where the "doing more" comes in... the "more" a BS is looking for is generally the tough stuff.
The tough stuff I think many BS's would like to see their WSs doing:
*Being proactive about R and recovery - e.g. suggesting books for us to read, showing me SI posts he has seen that apply to our situation, inviting me to listen to an infidelity-related podcast he has downloaded
*admitting something he has noticed he is doing wrong, before I call him on it.
*Inviting me away on a "retreat weekend" for us to go and work on our R (even just an afternoon if a weekend is impossible.. heck even just a coffee date!)
*Coming to me and asking me how my healing is going
* asking me to point out anything I think he could be doing to help in my healing
*coming to me and telling me some detail about the A he has remembered that I haven't thought to ask about.
*Writing me a heartfelt, detailed letter of apology (SOOO much better than a "blanket apology")
*Posting questions on SI and humbly acknowledging the replies, and accepting the 2x4s
*Saying words to me something along the lines of "I was SUCH an idiot to do this to you, I don't deserve you in my life. I had something of such value and I risked it all for nothing"
*Digging DEEPLY into his "Whys" not just scratching the surface and being happy with that. <= This is HUGE! My fWH is quite happy that he has worked out his "Whys" - he says he was selfish and enjoyed the ego stroke. That is SO not deep enough IMHO!!
* helping me re-build my self-esteem by telling me when he thinks I have done something well (be it a meal I have cooked, a new hair-style... whatever)
* saying SERIOUSLY that he "gets it" that he gets the magnitude of the hurt he inflicted on me, that he gets how life-changing and devastating this is for me.
*showing me he still finds me attractive by (tastefully!) flirting with me - winking at me in public, squeezing my hand under the table in a restaurant...that sort of thing ... not groping kinda stuff that takes me straight back to trigger-central...
*telling me that he will always be there for me, that he will stick with me through my healing, as long as it takes and then showing that he is genuinely willing to do this by not getting impatient with my lack of "progress"!
.... Sam IMHO it's all about being vulnerable, being brave enough to dig deeply into your "whys", being strong enough to admit how weak you are, being willing to do that for your BS, being willing to shelve the arrogance, the denial, the defensiveness and genuinely DEEPLY show your remorse, your sincere love, your gratitude for the chance to R...
And when your BS says she can't do it, she can't get through it.... if she is still there, with you, then IMO deep inside there is a part of her that still has hope...
[This message edited by ItsaClimb at 9:12 AM, July 8th (Monday)]