Heat oil in a large saucepan over medium heat. Stir in tomato paste and anchovy fillet; cook until fragrant and the color deepens, 2 to 3 minutes.
Pour in chicken broth and bring to a boil. Stir in tortellini and beans; cook until tortellini are cooked through but still firm to the bite, about 10 minutes.
Stir in red pepper flakes, oregano, salt, and pepper. Add spinach; cook and stir until just wilted, 2 to 3 minutes. Remove from the heat.
Ladle into bowls and garnish with red pepper flakes and grated Parmesan cheese.
