Astronauts can fart in space, but they should do so with caution. Farts contain flammable gases such as methane and hydrogen, which can quickly become a problem in a tiny pressurized capsule or space suit where the fart gases have nowhere to go. To minimize the amount of gas astronauts release, NASA early on in space flight banned foods that were known to cause gas. Foods like beans, cabbage, and broccoli were banned for a long time.

As for collecting methane from farts to power engines, I couldn’t find any information on that.
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