I'm sorry to hear what your children are going through, trying to be happy with the crumbs of affection and rationalizations of their mother in how she regards them.
And I'm very glad that they have a father and daddy like you, able to give the discipline, love and boundaries that children need to flourish and thrive. And your pancakes. They look divine.
Children are the souls of innocence with the wisdom of ages who intrinsically know what is and isn't true. Be there for them and make sure they never blame themselves for the actions of, or sacrifice their emotional well being to protect their mother.