That means the GOP will start with a 241-194 edge in the U.S. House; Democrats were able to gain six seats in the 2016 elections.
While Democrats had a candidate for the Senate in Louisiana, the final numbers were not even close, as Kennedy won well over 60 percent of the vote.
Some more liberal groups had complained that national Democrats were wrong to ignore the race, hoping to harness a possible backlash against President-Elect Trump, but there was no sign of any such momentum for the Democrats in the Bayou State.
It's possible Democrats may lose a seat in the Senate in coming weeks, if Mr. Trump picks Sen. Heidi Heitkamp for a Cabinet position. Her home state of North Dakota has a Republican Governor, who would then be able to appoint someone from his party to that Senate seat.