The page you are referring to talks about links to the MyGeotab UI and how you could leverage them within your website or application.
If you wish to retrieve the data then you should review the Concepts page as well as the Reference page.
Within the Concepts page you will find key information on how to use our API such as our Building Block approach as well as Multi-Call.
Within the Reference page you will find all the available methods and objects you can use.
Now specifically referring to your engine data requirement, you will need to pull that information from StatusData and joining those results with the results of Diagnostic and Device in order to get fully populated data.
Get<StatusData> (look at GetFeed if it is not a once off request)