When it comes to cooking, the term "more sauteed" simply means that the ingredient needs to be cooked for a little bit longer. However, if you want to add some variety to your cooking vocabulary, here are few synonyms for "more sauteed":
1. Further cooked
2. Browned
3. Seared
4. Fried
5. Caramelized
6. Roasted
7. Toasted
8. Wilted
9. Crispy
10. Charred
Using these synonyms can make your cooking instructions sound more interesting and flavorful. However, it's important to keep in mind that the degree of cooking greatly depends on the type of ingredient and the dish you are making.