When you open says no tool or no items?

Topic was moved from Installation Troubleshooter and Server setup.

Yes!

Topic was moved from Bug reports and troubleshooting.

The moderator sees the newsfeed? whether to approve it or not!

Morena Milani, the moderator permissions doesn't affect the widget is displayed or not. This settings allow the Moderator to delete any post in the Newsfeed. The users who have not moderator permissions can delete their own posts only.

If you go to Admin Area/Privacy & Permissions/Moderators - you will see the sections: Video, Groups, Blogs, Base, Admin, Events,  Newsfeed, Friends, Links, Photo, Forum, Virtual Gifts. If you tick off the Video section check box - that's means you will allow your moderator to moderate the video content i.e. edit/delete/etc.

Also there are two basic sections:
The Base section that will allow your moderator to moderate users' profiles i.e. suspend/change role/delete/etc.
And the Admin section - if you tick this section off for your moderator - you will give all the admin privileges to them i.e. they will be a site admin and will have all permissions as you.

Please, see more information here: https://docs.oxwall.org/user-manual:privacy:moderators

Be note the Moderator page has nothing to do with the roles and their sets of permissions.

Thank you Taissa!