Improving your gut health with prebiotics, eating a broad and inclusive diet of real foods (not processed), increasing fibre intake and eating fermented foods could improve your sleep and mood. Sleep deprivation increases your risk of obesity.
Lack of sleep results in a decrease in leptin, the hormone that makes us feel full and a rise in ghrelin, which stops us feeling satisfied with the food that we do eat. This can result in eating more that you need.
“We know that people who live with depression and people who sleep poorly both have abnormal microbes in the gut, which would suggest there is a very real connection here between all three” says Dr Tim Spector, Professor of Epidemiology at King’s College London.
This article from “The Guardian explains…
https://www.theguardian.com/lifeandstyle/2018/mar/19/is-your-gut-keeping-you-awake-at-night