TL;DR it's not possible.
We burn carbon based fuels because the reaction between carbon and oxygen releases energy that can be used to generate electricity. It would take EXACTLY as much energy to turn the released CO2 back into oil/coal/carbon except that this is not a perfect world, there are losses at every step. The only way to lower CO2 levels is to globally stop burning fossil fuels for heating and electrical loads (hydrocarbons are needed for a bunch of very specific chemical processes).