
Hi @Tevon2.0 ,
You can export the libraries as templates include contents from SharePoint 2013 and import them to SharePoint 2019. Here are the steps:
- Go to library settings > Save document library as template under general settings > Permissions and Management in SharePoint 2013.
- Enter the name for the template file and give a name and description to the template. Make sure you check the Include Content. Click OK to save the template to the list template gallery.
- Repeat 1 and 2 in all your needed libraries.
- Go to the list template gallery and download the template files to local.
- Go to SharePoint 2019 site > Site settings > Select list templates under Web Designer Galleries > Upload template files to the list template gallery.
- Go to Site contents > Click Return to classic SharePoint > Click add an app > Create libraries using the templates one by one.
I'm afraid there is no OOB way to migrate libraries including Permissions. Maybe some 3rd party tools can do this, not sure.
Also, the steps above can be replaced by using PowerShell. See this article: Export-Import All Lists and Libraries from One Site to Another using PowerShell
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