Sorry to say this, but he has to try to at least keep in touch with his children somehow. Because this attempt was just a cookie and a short message, it's not enough, it's trivial, it's laughable, pathetic etc. If it was a helicopter flying a banner across the sky saying "I love you my children, I'm sorry I hurt your mother" it would be too much, a ridiculous over the top grand and empty gesture.
He's not going to have a sudden revelation about the ins and outs of what he has done, the effect he's had on you, and on your children. And actually, what can he even do about it now? What's done is done.
He is in the wrong, of course he is, for the way he has behaved. No doubt about that, obviously. But that also translates now as every single thing he does is wrong, even his attempts to stay in touch with his children. And if he didn't even attempt it that would be wrong too.
He does not want to be in the marriage. He has made a right mess of everything and behaved appallingly in getting out. He has hurt you beyond all measure. You want him to know and feel every bit of your pain, the pain caused by his behaviour. But he, of course, does not want to know about that. And it won't help you if he does either.
He is the one who has hurt you (no, not ruined your whole life, even though you feel that to be true right now, but your whole life has more to it than just having him in it.) Thoughts of him, talking to him or anything to do with him is not what is going to help heal you from this deep wound he has inflicted.
Your children are being wonderfully supportive to you, which is great. Of course they can't fulfil your needs in terms of the loneliness you feel, no one can. And they are angry and hurt by him too.
Your own sad, lonely and painful feelings are completely natural and normal, something you just have to go through. But it's not permanent. You will come out the other side.
And there will be life after this. Whatever life you decide to make for yourself.
