Very little. The election was not about Trump, and Trump endorsed Moore's opponent in the primaries much more openly than he endorsed Moore.
The Left is celebrating Jones' victory, but they should not be celebrating. They used every dirty trick in their inventory and still barely won against a candidate who was already unpopular with most people in AL. It is actually a VERY bad sign for the Left's chances in 2018.
The Left was actually counting on Moore winning, which is why they were purging Democrats in Congress who were accused of sexual misconduct. They were counting on being able to claim being the "moral party", which is a total joke.
NOW, the DNC will have to keep purging the predators in their party, and the Republicans will re-take the AL Senate seat in the regular election.