Preheat the oven to 350F then line a baking sheet with parchement paper and set it aside.
Cream the butter, granulated sugar, and powdered sugar together until smooth and creamy.
Whisk in the egg, the lemon juice, lemon zest, and the lemon extract and mix until combined.
Mix in the flour, baking powder, and salt (mix in the poppy seeds now if you’re adding them) until the flour mixture disappears. Don't overmix your dough. Then using a large cookie scooper (4tbsp/1/4cup) scoop out 6 equally sized cookie dough balls, and place them on the prepared baking sheet and gently flatten them to about 1/2 inch in thickness.
Bake the cookies in the oven for 11 minutes, then let them cool down on the baking sheet for 10-15 minutes before transferring them to a cooling rack to cool down fully.
Once fully cooled, frost with the blackberry frosting and add a dollop of blackberry jam on top.
Make the blackberry frosting
Cream the cream cheese and butter together until combined.
Add in the powdered sugar, blackberry puree/juice, lemon zest, and vanilla extract, and mix until light and fluffy.
Frost the cookies, top with a dollop of jam, and enjoy!
Notes
How to store these blackberry lemon cookies.
You can store these cookies in an airtight container in the fridge for up to 5 days. You will have to store them in a single layer in order to not mess up the frosting and jam though.