Last time I was there, the only option for late-night food was the apps available at the lounge (bar), and it seems like the food court and the Rix were both closed before midnight.
That being said, there is a strong possibility that your options will be severely limited at the airport too - even in the larger airports, they tend to close up services by 10 or 11 at night. I fly a LOT for work and for leisure, and have often been walking through a closed-up airport after getting on a flight that landed late at night.
If you are going to need such a late night meal, it may be to your advantage to arrange a towncar one-way from the airport to your resort (instead of using the ME) so that they can take you through the 24-hour drivethru at McDonald's on your way to the resort.