This food chain relies on bacteria that can produce carbohydrates from primitive chemical agents. These bacteria are then consumed by other animals which in turn could act as a base for processed food high in energy and eaten by people.

The basic chemicals could be mass-produced in adiabatic furnaces that add exact amounts of heat to the reaction, commonly called 'activation energy'. The compounds resulting from this endothermic reaction are then delivered to the 'farm fields' in a manner more resembling irrigation, rather than illumination.

Consider that the best lightbulbs are only 20%-efficient. Plus to get rid of extra heat an air-conditioner is needed. Somewhere between 80-95% of the energy used to grow plants in space is wasted, and this is before the efficiency of photosynthesis is taken into account!!! Sure, close to the Sun we could grow ordinary plants since we wouldn't need lights. But what about a mission to Mars, or Jupiter, or Saturn - artificial lighting would be needed, and that need translates into an enormous amount of waste.

Chemosynthesis. Heat-driven processes - growing food without light. I think this, perhaps even more so than artificial gravity is the way of the future.

I just can't tolerate the beaurocratic process...
Guide for Submitting Unsolicited Proposals to NASA

So this is my idea, presented in a grand and general manner:
Starship Generations