We don't list cooked ingredients (i.e. parts of a recipe you cook yourself rather than purchasing), we list the ingredients you need to cook that portion of the recipe. So if a recipe calls for fried shallots, then the ingredients we list are peanut oil and Asian shallots - the ingredients required to make fried shallots.
So to find all recipes using those ingredents you would select "small onions" under Ingredients/Vegetables/Aromatics and then add "Asian shallots" and "peanut oil" to the Burma recipe search. This yields 29 results - some may not contain fried shallots and just have those ingredients in the recipe. If you think you may often need to find out where to use the fried shallots, add a Bookmark and tag each recipe that uses them.