Lee and Gertie are right: "the sound made by my mom when she cooks" and "the sound of my mom cooking" both work, but "the sound of my mom cooking" sounds more natural.
Where I live (Arkansas, in the U.S.), "the sound of my mom cooking" is a bit formal. I would say it like that if I were writing an essay, but if I'm talking with friends I would say "the sounds my mom makes when she's cooking."