Hi Wayne,
The Ecuadorean postal system works fine for shipping things across the world, though you will need to allow 6 to 8 weeks for most items to arrive. However, be aware that rates have recently been increased and it’s not cheap to ship items through the mail.
If you’re planning to export a number of items at a time I’d suggest heading over to Otavalo where you can find many businesses that specialize in exporting and shipping items from Ecuador to other countries. They’ll have better shipping rates and will be able to help you with all of the legal requirements for exporting items.