Final answer:
Fr Coindre's chief mission after the French Revolution was to establish stability and order by reinforcing traditional political structures and suppressing future revolutionary movements.
Step-by-step explanation:
After the French Revolution, the chief mission of Fr Coindre was to establish stability and order in France. He aimed to reinforce traditional political structures while granting limited compromises to the generation of people who had experienced equality under the law. His goal was to create a lasting conservative order and suppress future revolutionary movements. Fr Coindre's mission aligned with the goals of the powers that defeated Napoleon at the Congress of Vienna, who sought to establish a conservative international political network.