Please check the attached Abaqus input file template. It defines two hyperelastic incompressible Yeoh material models, for Elastosil and Ecoflex, according to the properties of the screenshot that you have shared.
According to Harold Berjamin 's answer, the implementation of a Mooney-Rivlin material in Abaqus for Elastosil and Ecoflex, having the properties specified in the article, is according to the attached Abaqus input file template.