If you want to integrate risk management into decision making, you have to talk the same language as decision makers.
That means that if the decision is made based on IRR you need to calculate an alternative IRR, based on risks. If the decision is made based on NPV/EV/FV you need to calculate new NPV/EV/FV based on risks. If the decision is made based on cash flow, you need to calculate new cash flow or new budget based on risk information.