Blend the butter and caster sugar together in a food processor. Add the flour, eggs and milk and blend lightly to combine.
Add the blackberries and blend on "high" to combine.
Grease a small pudding dish and pour the sponge mixture in. Cover with cling film and microwave on full power for four minutes.
To make the sauce, heat the blackberries, sugar and wine in a small pan for 3-4 minutes.
Turn the pudding out onto a serving plate and spoon the sauce over to serve.