Aries, one of the most stubborn zodiac signs, has trouble accepting their mistakes. An apology may make Aries feel ashamed because it implies they hurt someone.
These people are direct, and if they apologized, they would do it just to make the other person feel bad for insisting on an Aries apology. They'll quickly forget how they offended you.
Perfectionist Virgos don't think they've done anything wrong. Even if they have, they would rather give an insincere apology to the other person to put things behind them and make them feel better.
Apologizing is powerful when done right, but many Virgos have the annoying habit of never apologizing from the heart.
They don't see their faults, and when others point them out, they ignore them. To passively move on and apologize, they'll make fun of the issue and crack jokes.
They don't apologize because they're trying to control their emotions. Emotional closeness and vulnerability are dangerous to them, while emotional distance, irritation, and rage are comfortable.