Solved
AEM as Cloud Service Pre-filter component list in page parsys or responsive grid based on logged in user
Given that a user is part of project-author group then the component selection window is pre-filtered by the project-component component group, once we click on the Parsys or responsive grid, please find below screenshot, once I log into author instance and open the page, to author and click on parsys to add the component , then need to see project-component group components only in the list, example screenshot I given a sample one showing general group.

