If you're looking for MX Green keycaps with RGB backlighting, you'll need to be a bit creative. While there may not be any officially available keycaps with both functions, there are a few options worth exploring to get closer to your goal.
The first place to look is mechanical keyboard accessory shops that specialize in aftermarket keycaps. These shops often offer custom keycaps in a variety of designs and sizes and you may be able to find a set with the colour you're after. If that's not an option, you can always repaint existing keycaps to the desired colour.
You may also be able to find 3D printed keycaps with RGB backlighting, although they won't always be in your preferred colour. Keep an eye out for new products as this is an ever-expanding market with plenty of innovations always coming up.
Finally, if you have some decent technical skills, you could always build your own keyboard from scratch. This way you'll have complete control and be able to choose all the components, from switches to keycaps, including the RGB backlighting and the colour of your choice.
If you decide to go that way, it's worth doing some research to find out what components and materials you'll need, and what tools you may have to buy or rent. With a bit of patience and effort, you'll be able to build the perfect MX Green keycap keyboard with RGB backlighting that suits your needs.