You have two sets of data: one for the rate independent stress-strain (Uniaxial, Shear, and compression) and one for the rate dependent relaxation (Stress relaxation vs time).

Curve fit the rate independent ogden model first. Then curve fit the rate dependent prony series.

These two mathematical expressions are combined under one material model to give you a large strain rate dependent material representation of your elastomer.

Your engineering data should look something like this: