To push variations from SureDone to Magento, you will need to create a full item for each variant prior to listing and then relist the parent and all of the children products. Relisting the parent alone will not suffice.
You will also need to select an Attribute Set that is a configurable product and has a dropdown Attribute, for which all of the children have a valid, and different value.
Note: Because each child is an independent product, similar to Amazon, they should all have their own product information. This also means that children can be added or removed at any time, independent of the rest.