With a hand mixer, cream butter and sugar until light and creamy.
In a separate bowl, combine the dry ingredients: flour, baking powder, and vanilla.
Add one egg to the butter and sugar mixture and stir in 1 tbsp of the dry ingredients. Mix well and add the remaining dry ingredients, combining well. Add lemon zest and whisk.
Preheat the oven to 200°C (392°F) and refrigerate the dough while you wait for the oven to reach the desired temperature.
Line a cake pan with parchment paper. Sprinkle flour on a clean surface and roll out the dough to 3mm thickness. Place it on the prepared cake pan, spread raspberry jam evenly, and trim any excess dough.
Roll out the remaining dough and cut it into 1.5cm wide strips. Arrange the strips on top of the raspberry jam and tuck the edges inside.
Bake crostata for 25 minutes, then check if the top has browned. If not, bake for an additional 5 minutes.
Remove from the oven and, if desired, sprinkle with powdered sugar. Serve warm and enjoy your delicious Italian Crostata!