The only way to persuade pax not to take their luggage in an emergency evacuation is for the airline to have a policy where each pax is given USD 5,000 compensation (should be enough for most people unless you have lots of cash or gold bars in their luggage) should their carry-on bags get destroyed. Those who manage to take their bags with them will forgo the compensation. Not only this, the prompt payment of the compensation is required.

The safety video/announcement should also be modified to say the following on departure "during taxi and take-off, please keep your cell phone, passport, wallet/cash and essential medication with you until the aircraft has come to to a cruising altitude and the seat belt sign has been switched off".

For the evacuation instructions "please do not take your carry-on baggage with you when leaving the aircraft. Our airline has a policy where you will be promptly compensated for the loss of your belongings".

Before arrival, the safety video/announcement would say "we will be landing soon, please keep your cell phone, passport, wallet/cash and essential medication with you at all times".