In a stand mixer, beat butter, oil, granulated sugar, and brown sugar until fluffy.
Add eggs and vanilla, mixing until combined.
In another bowl, whisk flour, baking soda, baking powder, salt, and pumpkin pie spice.
Slowly add dry mixture to wet mixture until just blended.
Cover and chill dough for 30 minutes.
Preheat oven to 350°F and line baking sheets with parchment.
Scoop dough (about 1½–2 tablespoons each), roll into balls.
Place on baking sheet about 3 inches apart, sprinkle graham cracker crumbs on top, and bake for 8–10 minutes.
Let cookies cool completely on the baking sheet before moving.