What was the outcome and the effect on the homelands of the American and French Revolutions?

Well, the American Revolution ended up with the United States. In short, that's what the outcome was.

As for the French Revolution, it didn't end so nicely. The French weren't lucky enough to have leaders like the American Revolution did. Their leaders were into bloodshed, and they killed a ton of people, tried to establish a democracy, but their efforts failed. Once again, as some politicians, namely Alexander Hamilton and John Adams, prophesied, they were back under the spectrum of despotism, but this time under Napoleon.

The American Revolution influenced the French in that they were spurred to start their own revolution. The French, however, split the nation further. To some, like Thomas Jefferson, the French Revolution was just the French embodying the American cause, and those who agreed with him gravitated towards the Democratic Republican party. But to others, like Alexander Hamilton (ever terrified of mob rule), the French Revolution was a horrifying scene of anarchy and despotism, and those turned to the orderly British government as a better model - the Federalists. So here was another issue the country was split over. In addition to fiscal policies and authority of the government, there was now the question - what country are we to align with?