Heat vegetable oil in a saucepan over medium heat. Cook and stir garlic and shallot in hot oil until fragrant, 1 to 2 minutes.
Stir apple cider, chicken stock, raisins, brown sugar, orange segments, thyme sprigs, bay leaf, and cloves into garlic and shallot. Bring to a simmer and cook until sauce is reduced by half, stirring often, 15 to 20 minutes. Season with kosher salt.