Line an 8-inch square baking pan with parchment paper, letting it overhang the edges for easy removal.
Rinse the quinoa thoroughly, then cook according to package instructions. Transfer to a large bowl and let cool completely.
In a food processor, combine Medjool dates, coconut oil, almond butter, protein powder, and vanilla extract. Process until smooth and creamy.
Add the coconut flakes and chia seeds to the processor. Pulse until fully mixed.
Pour in the oats and cooled quinoa. Pulse again until the mixture is well combined and starts to clump together.
Press the mixture firmly into the prepared baking pan, ensuring it's evenly spread and tightly packed.
Refrigerate for at least 1 hour, or until the bars are firm and set.
Lift the bars out of the pan using the parchment paper, and cut into 9 squares using a sharp, serrated knife.
Store in an airtight container in the refrigerator for up to 1 week.