The evidence for enlightenment in the French and American national anthem would be their repeated talk about equality, brotherhood, freedom, and similar ideas. These are at the very core of an enlightened movement.
Explanation:
The French and American anthems are each associated with war and freedom. apart from that, they're not terribly similar.
The American anthem could be a literary composition (not originally supposed to be a song) written regarding the Battle of the city, throughout the War of 1812. It names America as "Land of the free and residential of the brave".
The French anthem was written in support of the military and includes a decision to affix the military and fight tyrants. Similarly, regarding freedom.
Besides this, they need very little in common. It's value noting that the American anthem has solely been used as an anthem fairly recently.
