It is recommended to not have any direct pet interaction between your sugar gliders and any other pets.
CATS
Cats are hunters of small animals. If your sugar gliders get out, they can be killed. In cage, they are ok although having cats around could cause mental stress. Some animals can learn that these are your pets and come to not harm them. People have reported that their cats are good with sugar gliders.
DOGS
Sugar gliders are colony animals and do require changing interaction to stay mentally healthy. They are also hunting animals and require alternative stimulus when caged to maintain mental health. This is why environment enrichment is very important to their well being. This article is a list of ways to enrich your pet's environment.