They bear grudges against each other.

他俩有过节儿。

《新英汉大辞典》

Life is too short, should not be used to bear grudges.

生命太短暂了，不应该用来记恨。

youdao

We can choose to bear grudges or forgive. With a change of thought, we can tolerate everything.

原谅或怨恨，只是一念心；心念一转，能包容一切。

youdao

Without thoughtfulness and attention to detail (especially the detail that can be provided by good intelligence), all the military hardware in the world is insufficient to protect a state against others that bear old grudges against it.

ECONOMIST: Britain's military power