This is Dr. David
is a good article on the subject.
"Nature uses enzymes; we use inorganic complexes or metals"
genetic engineering is still needed to make organisms which could do this more efficiently.
current technology uses more energy than it makes to turn carbon dioxide into hydrocarbons.
take a look at the article
let me know if you have questions.
Cyanobacteria may be it.
is a good article on it
the biochemistry is quite involved and is discussed in the article. I am not an expert in it.