The major verbs that are close to this meaning are as follows:
1. Foment(v) Fomentation (n)
to cause trouble to develop
Ex: they accused him of fomenting political unrest
2. Stir sth up
to cause an unpleasant emotion or problem to begin or grow
Ex: The teacher told him to stop stirring up trouble.
Also, I think we can use some verbs implying the meaning of "تحریک کردن، براگیختن، اغوا کردن" such as:
Of course, these have a small difference in meaning with the main questioned topic.
As an example, your second sentence is:
It must be prevented from fomenting differences/conflicts.