How can a mother apologize to her son for doing something wrong?

It should be timely, direct and face to face.

1. A mother can use specific actions, a simple expression or a sentence to show that she has done something wrong, so that her children can feel her sincerity and express the hope that her son can forgive herself.

You must apologize in person, not through a third person, so that your son can't see your attitude at all, don't know whether your apology is true or not, and can't understand the painstaking efforts as a parent.