Sort contents in content list I need to sort contents in the same manner as blocks are sorting in the block list.
In the block list we can drag an drop blocks to place the them up and down, same functionality I needed for content list for contents.
To add Sort functionality using Drag and Drop into admin/content section, you need to play with administration views using Admin Views module. Note that Weight module is also necessary for this. After installing and enabling these module you can edit administrative views under admin/views section.

But if you simply want to add your new views of specific contents then there is already Weight view available under admin/views section. You can check this view to see the working and functionality using Drag and Drop. 

Note: Weight module must be enabled for contents to be sorted.