Preheat the oven to 400°F. Line a baking sheet with parchment paper.
Heat 1 tablespoon olive oil in a skillet over medium heat.
Add the chopped spinach and cook for 2 to 3 minutes, or until wilted. Remove from heat and let cool slightly.
In a medium mixing bowl, combine the cooked spinach, ricotta cheese, Parmesan cheese, sun-dried tomatoes, lemon zest, garlic powder, salt, and pepper. Mix until well combined.
On a lightly floured surface, roll out the puff pastry sheets.
Cut each puff pastry sheet into 4 squares, making 8 squares total.
Spoon the spinach filling into the center of each square.
Fold each square into a triangle or rectangle. Press the edges with a fork to seal.
Transfer the pastries to the prepared baking sheet.
Brush the tops of each pastry with the beaten egg.
Sprinkle Everything but the Bagel seasoning over the tops.
Bake for 15 to 20 minutes, or until puffed and golden brown.
Let cool slightly before serving. Serve warm or at room temperature.