To be honest I don't really understand what you are saying here. Can you please re-phrase what you are trying to ask so that we can provide you with a better answer?

In your demo, the easysocial groups module is seen with the cover below. Instead my site not. as shown in attached file

Hello Armando,

EasySocial uses the same layout settings as the rest of your Joomla modules. Edit the module and click on the "Advanced" tab. Then, select "Card" as the layout .

Save the settings and you are good to go