Display multi-value entity reference field in node edit form as draggable?
You can get the multiple values input in a table format with the draggable option if you choose Autocomplete widget for that field under Manage form display for that Content type (not the Autocomplete (Tags style)). 

If your field accepts an unlimited number of values the widget will present as one autocomplete input field with a button to Add another item. As you add more items you will be able to drag and drop to rearrange the values order. 



You can also get that reordering widget with Inline entity form widget (with the additional module Inline entity form).