Start by heating the blackberries in a saucepan over medium heat. Let them cook until they break down and thicken slightly. Stir occasionally to prevent burning. Once reduced, allow the mixture to cool completely before using.
Beat the vegan butter until smooth, then add coconut sugar and mix well. In another bowl, combine flour, baking soda, and salt. Slowly mix dry ingredients into the wet mixture, then add plant milk and oats. Stir until a soft dough forms.
Roll the dough into small balls and place them on a baking sheet. Flatten each ball slightly for even baking. Bake at 350°F (175°C) for about 10–12 minutes. Let cookies cool completely before filling.
Beat shortening, butter, and vanilla until smooth. Gradually add powdered sugar until thick and fluffy. Mix in the cooled blackberry puree and blend until fully combined. Adjust thickness with more sugar if needed.
Spread or pipe the blackberry cream onto one cookie. Top with another cookie to create a sandwich. Press gently so the filling spreads to the edges. Repeat with remaining cookies.