Preheat your oven to 350°F. Line a rimmed baking sheet with unbleached parchment paper and set it aside.
In a the bowl of a blender or food processor fitted with the steel blade, place about 1/2 cup (50 g) of the oats and grind into a powder.
Transfer the ground oats and remaining whole oats to a medium-size mixing bowl and mix to combine.
In the same blender or food processor, now empty, place the dates. Add one egg, and only the egg yolk of the other egg. Use the second egg white for another purpose or discard it.
Blend or process the egg and date mixture until as smooth as possible. There will still be some brown flecks from the dates.
Scrape the date mixture into the bowl of oats and oat flour. Mix to combine well. The dough should be thick but soft and sticky.
Scoop the dough out by the tablespoonful and place on the prepared baking sheet in portions about 1 1/2-inches apart from one another. With wet fingers spread each into a disk about 1/4-inch thick.
Place the baking sheet the center of the preheated oven and bake until set in the center, about 8 minutes. The cookies are set when they are no longer shiny, but they will not brown very much on top.
Allow to cool for about 5 minutes on the baking sheet before transferring to a wire rack to cool completely.