A new and distinct Ranunculus cultivar named ‘ABATLAUA’ is disclosed, characterized by a unique combination of colors in the corolla, including greens and purples. The corolla has a rounded shape when it is fully open. The petals are uniquely rippled in texture. Plants are highly productive and flowers have an exceptionally long vase life. The new variety is a Ranunculus, normally produced as a cut flower and potentially useful as an ornamental plant.