In a large sauté pan, heat oil and butter over medium heat.
Sauté the apple and yam cubes about 5 minutes or until slightly golden brown.
Meanwhile, in a medium saucepan on medium-low heat, add honey and let it slightly caramelize (turns copper color). Slowly stir in apple cider or juice, add spices, and reduce by one-third.
Lower heat to medium-low.
Pour mixture over the apples and yams, and continue to cook until yams and apple cubes are tender but not falling apart.
Remove cinnamon sticks and star anise before serving.
In a small saucepan, melt coconut oil.
Pour into large bowl.
Add vanilla and honey, and stir.
In a large frying pan on medium heat, roast pumpkin seeds until they pop, 2-3 minutes.
Remove from pan and set aside on paper towel.
In the same pan, roast sesame seeds, almond slivers, and coconut until slightly brown, 2-3 minutes.
Add pumpkin seeds and nut mixture to liquids and mix.