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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
It doesn't provide a way to submit tests though. You need to submit a solution and see that output.
Also the user documentation seems out of date (the returned output does not match what they say should be returned) so it is resonable to assume the rest could be out of date.
Codewars provides a REST API. However, I don't know whether the documentation is up to date.