Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.

In a food processor, combine flour, baking powder, sugar, and salt. Pulse for around 10 seconds until blended.

Add the cold, cubed butter and pulse until the mixture resembles coarse crumbs, about 15 seconds.

Pour in the olive oil and pulse just until combined, about 10 seconds.

Gradually add cold water through the feed tube, pulsing until a dough ball forms, around 30 seconds.

Turn the dough onto a lightly floured surface and roll out to about 1/8-inch thickness.

Using cookie cutters, cut out shapes and poke holes in each cracker for even baking.

Place the shapes onto the baking sheet and bake for 10-12 minutes until golden and crispy.

Brush warm crackers with melted butter and sprinkle with coarse sea salt before serving.