Preheat your oven to 350°F/175°C. Line a large baking sheet with parchment paper.
In a large bowl, whisk together the eggs, vanilla extract, and granulated sugar until well combined. Whisk in the oil.
In a separate bowl, combine the all-purpose flour, baking powder, and roasted anise seeds.
Add the dry ingredients to the wet mixture. Stir with a spoon or sturdy spatula until a soft dough forms.
Lightly moisten your hands with oil. Transfer the dough to the prepared baking sheet and shape it into a flat rectangle/log approximately 8 to 10 inches long, 4 inches wide, and ½ inch thick.
Bake on the middle rack for 20 to 25 minutes, or until the top and sides are light golden brown and set.
Remove from the oven and let cool on the baking sheet for 10 minutes (do not leave them too long, or they will be harder to slice). Lower the oven temperature to 325°F/165°C.
Using a sharp serrated knife, slice the log diagonally into ½-3/4 inch slices.
Arrange the slices cut side down on the baking sheet. Bake for 6 to 8 minutes, carefully flip each piece over to the other side, and bake for an additional 6 to 8 minutes until light golden and crisp.
Transfer the biscotti to a wire rack to cool completely. They will continue to crisp up as they cool. Store in an airtight container at room temperature.