Combine the spice rub ingredients in a bowl and mix well.
Preheat the oven to 400℉.
Brush tenderloins with olive oil and pat the rub over the surface of each. Arrange tenderloins in a baking pan that has been sprayed with nonstick spray.
Bake for 25 to 30 minutes, or until meat thermometer registers 145℉. Remove tenderloins to a platter and tent with foil. Let rest for 10 minutes. Slice tenderloins and arrange on a serving platter.
Meanwhile, prepare the sauce by combining all ingredients in a saucepan and mixing well. Bring just to a boil; reduce heat. Simmer, covered, for 30 minutes, stirring occasionally. Process the sauce in a blender or food processor until smooth.
Drizzle the sauce over slices of tenderloin and serve warm.
Notes
Avoid using Turkish dried apricots in this recipe, as they lack flavor.
If you are preparing this recipe as gluten free, just make sure the brands of apricot nectar and sweet chili sauce you're using are known to be GF.