I know one major point has to do with the revolution putting France deeper into debt. Can someone please elaborate or give me more examples of implications?
France assisted the US during the Revolutionary War under orders from Louis XVI, primarily because the French and the British have a long history of cultural and martial rivalry and they wanted to weaken England's foothold in the New World.
American victory could have helped France to strengthen its political and financial interests in North American, but this plan came to nothing because of Louis XVI' untimely decapitation. During the French Revolution, France turned its energies away from the New World, eventually culminating in Napoleon selling France's north American land claims to the US as the Louisiana Purchase.
The US arguably benefited more from French politics than any other group in the world. On the French side it was all loss; they invested in supporting us but due to changes in political priorities during the revolution, they never really saw a return on that investment.