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Stretch ratio is defined as final length / original length. Thus the stretch ratio would be 1 + %strain value.
COSMOSWorks 2006 does not display mooney rivlin constants in the materials dialog. However you can look at these constant values by editing the *.OUT file residing in the work directory. These constants will only be written to the *.OUT file as soon as the nonlinear solver is run.
Are you performing a nonlinear plasticity, nonlinear elastic, or a hyperelastic (rubber, elastomer) analysis?