I could find the API for Uber Rush in https://developer.uber.com, but not for Uber EATS, where would this information lie?
There is not currently a publicly available API for UberEATS. Any news on that front would be announced on the Uber API developers blog.
Also, for non-technical or non-coding questions like these about Uber's API, it might be better to follow up with them directly on their community forum, rather than on StackOverflow. Thanks!