arduino ethernet shield with mobile application

hello all
i have smart house control project with ethernet shield through the internet my question is how to send or receive data from a mobile application i made by my own in appery.io how to send orders and variables to the arduino from the mobile application / database how ethernet read data from internet ??
hope you help me solve that and thanks in advance

how to send orders and variables to the arduino from the mobile application

That depends on the capabilities of the "mobile application". Typically, the mobile device would make a GET request, addressed to the server.

how ethernet read data from internet ??

Do you have the Arduino acting as a server? Can you access the Arduino from a browser? If so, then the answer should be pretty obvious. If not, well, the first step is pretty obvious.