Preheat oven to 350°F (180°C). Line baking sheets with silicone mats or parchment paper.
In a large bowl, beat the butter, brown sugar and granulated sugar until fluffy.
Mix in the molasses, vanilla and eggs until creamy.
Turn off mixer and add in the flour, cinnamon, baking soda and salt. Stir by hand initially to avoid flour flying out, then beat on low until incorporated.
Stir in the quick oats.
Scoop dough by 1 to 1.5 tablespoon amounts and place 2 inches apart on prepared baking sheets.
Bake one sheet at a time for 9-11 minutes, until tops look set.
Cool on baking sheet for 10 minutes, then transfer to a wire rack to cool completely.