Finely mince garlic and onion.
In a large pot, add erythritol and water, and melt over medium heat.
Add chili powder, minced garlic, and minced onion, and mix well.
Add soy sauce and doenjang (fermented soybean paste), then bring to a boil while stirring.
Reduce to low heat and simmer for 15 minutes.
Cool the finished gochujang and transfer to a container.