In a small saucepan over medium heat, stir together maple syrup and water. Add cinnamon sticks. Bring to a simmer for 10 minutes, stirring frequently. Remove from heat and let cool entirely. Store in an airtight container with the cinnamon sticks. Keeps for 2 weeks,
For the cocktail
In a cocktail shaker filled with ice, combine simple syrup, Frangelico and coffee. Shake until combined, then strain into a rocks glass filled with ice. Top with half-and-half or milk. Garnish with a sprinkle of coffee grounds.