Preheat the oven to 375℉ and line a 9 x9 cake pan with unbleached parchment paper.
Make the jelly
In a small saucepan over medium-high heat, add the blackberries, lemon juice, and sugar. Cook until the blackberries has completely softened and is turning into a sauce, roughly 5 minutes.
Whisk in the flour, cook for 1 minute longer and then remove from the heat. Set aside to cool.
Make the bars
In a different saucepan over medium-high heat, melt the butter.Next, add in the maple syrup and peanut butter, stirring until well combined. Remove from the heat.
In a large bowl, add the oats and ½ cup all-purpose flour and combine.Now stir in the peanut butter mixture into the flour and oats.
Pour the blackberry jelly into the oat mixture and stir in until just a little bit, do not mix it in completely.
Press the oat bar mixture into the parchment lined baking pan. Bake for about 25 minutes, until the edges are golden brown. Let the bars cool in the pan for 10 minutes, then let them continue cooling on a wire rack.
Once the bars are completely cooled, cut into bars and serve! Keeps well in the fridge for up to 5 days.