Heat oven to 350℉/177℃.
Line sheet pans with parchment paper. Set aside.
In a medium bowl, whisk together flour, baking powder, baking soda, and salt. Set aside.
With an electric mixer, beat butter and sugar until creamy, about 1-2 minutes.
Beat in egg and egg white.
Add molasses and vanilla.
Mix in completely.
Add flour mixture.
Stir only until blended.
Mix in rolled oats.
Use a 1½ Tablespoon scoop to portion dough onto prepared pans, about 8 cookies per pan.
Bake for 14 minutes, or until just starting to brown around edges.
Allow to cool on pan.