Put the lime juice, fruit, sugar and water into a pan and bring it to the boil. Cook the fruit until the blueberries are soft. Taste and add more sugar if you need to. Allow the fruit to cool.
Carefully strain the juice through a sieve into a big measuring jug. Use a spoon to push the juice through.
Pour the strained blueberry and raspberry juice into the lollipop moulds.
Freeze the moulds for 3-4 hours. Half way through the freezing time, when the mixture is slushy, push the lollipop sticks in.