Orange Insect Eggs . The small milkweed bug also has a dull red spot on its. The eggs of the bronze orange bug, which belongs to the tessaratomidae family. Bright Orange Insect Eggs Mice from miceinsect.blogspot.com Insect eggs in your home or business could mean bad news. Insect eggs come in a wide variety of shapes, sizes and colours. The orange or red bands on the dorsal side form a bold x marking, although the center of the x isn't complete.