Preheat oven to 190 C. Line a baking sheet with parchment paper.
On a lightly floured work surface, unwrap pastry dough and slightly roll out to an even rectangle, and cut into four equal rectangles. To make things easier, separate rectangles and place on baking sheet so you can prepare on baking sheet.
Spread the pesto on the rectangles, leaving 1/2-inch border. Top each with 4 to 5 asparagus spears, tomatoes, and both cheeses.
Bake pastries for 20 to 25 minutes until lightly golden. Cool for 5 minutes and serve warm.