Tell us what you are trying to do?
Now I deactivate the plugin "toolset layout" plugin, site is working fine. When I activate the "toolset Layout" plugin, then my home page is show nothing., it's not working.
Is there any documentation that you are following?
no
Is there a similar example that we can see?
no
What is the link to your site? hidden link
The most obvious issue would be that there is an existing Layout template assigned to your homepage but that the template itself is empty, hence nothing is output.
If you edit the homepage (when Layouts is active) make sure that there is no Template Layout assigned (screenshot).
Otherwise, check your PHP logs for errors.
If you haven't already, turn on the debug log by editing your wp-config.php file and change the line with WP_DEBUG like so:
That will create a debug.log file in your /wp-content/ directory which you can examine in any text editor. Try visiting the home page and then inspect the log. If you don't find the debug.log file it means it didn't generate any warnings or errors.