I think that the numbers show pretty clearly that the Obama administration's economic plan worked - there should really be no argument there.
The U.S National Bureau of Economic Research defines the great recession between
December 2007 and June 2009. Obama was sworn in on January 20, 2009, so it had already started before he entered office. Given that he inherited a recession and after his 2 terms we had a fast growing economy is not something that can be debated.
https://en.wikipedia.org/wiki/Great_Recession
The unemployment when he got into office was 7.9%, 4.8% when he left.
Now, under Trump unemployment continued to fall (we are at 4% now) - but the actual numbers seem smaller compared to Obama's last years - in 2016 there was 1.95M new jobs created, in 2017 there were only 1.7M new jobs created.
The great Republican economic rallying cry against Obama was the federal deficit - and it is absolutely true that he borrowed heavily to rebuild the economy, and for 4 years (his first term) - the deficit was over $1T. But, when he left office the deficit was $587B (Bush's last pre-recession deficit was $459B).
At the end of Trump's first year the deficit is at $666B - and I suspect it will grow even further with the new tax plan - so the so called Republican "fixes" to the economy show slowing gains and growth of the deficit (the big no-no the Republicans cried about).
There is certainly no doubt that he did not immediately muck it about and the GDP, market and unemployment trends continued - even if they were slower growth than before - but there are real concerns - the new tax plan is a great boon to the rich people - but the idea that the market and GDP will continue to grow at rapid pace to overcome the loss of federal income is questionable at best - the deficit is already growing under Trump and I would not be surprised if the deficit will continue to grow at a much higher pace now, despite the fact that we are in a strong economy.
There are also signs that we are at the start of a bear market already -
https://www.cnn.com/2018/11/19/investing/stocks-bear-market-morgan-stanley/index.html - and this comes from financial analysts - not political ones.