If I understand your problem correctly, that your micro greens wilt in your refrigerator, you may need to look at the type of refrigeration you are using.
Home type of refrigerators that are frost free refrigerators have defrost mechanisms that pull moisture out of the atmosphere to prevent the formation of frost. The result is a dry air that dehydrates items in the refrigerator. Old style refrigerators and commercial refrigerators do not use this system. A way to compensate for this is to lay a slightly damp paper towel on the produce or to mist it regularly to rehydrate the produce.