Preheat your oven to 350°F / 175°C.
Line two baking sheets with parchment paper.
Unroll the crescent dough and separate it into 4 rectangles. Firmly press the perforations together to seal any gaps.
In a small bowl, mix the softened cream cheese, vegetarian bacon bits, and dried onion flakes until well combined.
Spread the cream cheese mixture evenly over each of the 4 dough rectangles, leaving a small border on the edges.
Starting from one of the short sides, roll up each rectangle into a tight log. Press the final edge to seal.
Using a serrated knife, carefully cut each log into 6 equal slices, for a total of 24 pinwheels.
Gently roll the cut sides of each slice in the grated Parmesan cheese, coating them well.
Place the pinwheels on the prepared baking sheets, about 1-2 inches apart.
Bake for 13-15 minutes, or until the edges are golden brown and puffed.
Let cool for a few minutes on the baking sheets before transferring to a wire rack.
Serve warm.