Place the cinnamon sticks in a plastic bag or under a dish towel and, using a mallet or heavy pan, crush the sticks into large pieces. Dice the ginger.
In a saucepan, warm the cinnamon, ginger, peppercorns, cardamom pods, cloves, over medium-low heat until fragrant, about 5 minutes.
Add 2 cups water to the spices and bring the heat to medium-high. Bring to a simmer.
Simmer, covered, for 5 minutes. Remove from the heat, add the tea black bags, and steep for 10 minutes.
Swirl the maple syrup into the tea. Using a milk frother, froth and warm the milk. If you don't have a milk frother, you can use a whisk while warming the milk in a saucepan, or warm the milk in the microwave then shake in a jar to froth. Warm the milk until just steaming.
Strain the tea and add 6 ounces to a mug. Top with 4 ounces of frothed milk, a sprinkle of cinnamon, and a drizzle of additional maple syrup.
Repeat for the other latte. Serve.