Q: What is the meaning of the status "With managing editor search"?

Larger journals have managing editors who are responsible for different subject areas. Once a manuscript is submitted, it goes to the managing editor who assigns it to a suitable Associate Editor(AE). 

It is not uncommon for a manuscript to remain with the managing editor for a month. This is because the managing editor may be having difficulties in finding a suitable AE for your paper. Another possibility is that the AE who has the expertise to deal with your paper is already overloaded. In that case, the managing editor will have to wait till the AE is done with processing some of the papers that he/she is currently handling.

However, since it has already been a month since submission, you can send an email inquiry to the managing editor asking by when you can expect to see the next status change.

Related reading:

• What does the status change from "With editor" to "With managing editor" indicate?
• How do I write an inquiry to the editor about my manuscript's current status?