Here is one recipe: https://www.hometalk.com/1412978/homemade-dishwasher-detergent-for-spot-free-dishes
Here are a few different recipes: https://www.houselogic.com/organize-maintain/cleaning-decluttering/which-homemade-dishwasher-soap-recipe-best/
Try mixing baking soda, dish liquid with water. This is the way I do the dishes manually and they always come clean without much scrubbing. The baking soda kills the grease and softens burned on food. It also helps to clean your drainage lines clear.
here are some dish soap recipes from hometalk:
I use Young Living's Thieves Concentrate Cleaner