I've read about some concerns in other authoring tools not having support for CC files. Within dominKnow|ONE it's easy. And they even work great within our responsive development environment (FLOW).
You can add Closed Captioning files on the video's Properties panel, which you will see when you first upload the file. You can also access this later in the Media Browser or Media Library.
You can see how easy it is to upload separate CC files depending on the languages you need to support but...