Breaking down food requires coordination across dozens of cell types and many tissues — from muscle cells and immune cells to blood and lymphatic vessels. Heading this effort is the gut’s very own network of nerve cells, known as the enteric nervous system... One of the things being studied is the involuntary contractions that move food through the gut.
That's not wrong, but it's so obvious that I'm wondering what you're trying to say?
You are what you eat and gut health certainly impacts your brain. "A sound mind in a sound body."
But that's not really what this article seems to be about.