Then the methane is consumed by some genetically modified bacteria (probably e.coli) first to convert it to an intermediate product, and then with a second organism to convert it into starch.
In the article they talk about genetically modified enzymes and I've actually jumped ahead to the using genetically modified bacteria here[2]. I think that is a safe assumption as a number of bio-reactors do exactly this.
What is somewhat interesting to me is that livestock generates a lot of methane, if you could harvest it and convert it back into starch to feed the livestock you could increase the efficiency of raising livestock farming.
[1] https://phys.org/news/2020-02-method-carbon-dioxide-methane-...
[2] The article hasn't appeared in sci-hub yet :-)