Check your installation and your CSS, the problem is in your own installation. The screenshots are real, that plugin works great on any fresh WP install and with well developed themes.
Now about saying ‘weak variant of Filezilla’, that comment means nothing. Filezilla is only a 14 years old FTP client, while FTP is a network file transfer protocol, that ‘common’ programmers use as a file manager. NO ! Filezilla is not a file manager, but that plugin is ! And that plugin is not able to act as Filezilla, it does not handle any network protocol, it cannot connect to a FTP server, it just manages file on your web site. But it can upload files with drag and drop for sure like Filezilla can upload files. However Filezilla needs TCP ports 20 and 21 to be opened by all intermediate firewalls, and many providers don’t agree to let them opened, but that plugin needs nothing, it will work anywhere !
So please don’t make any quick comparison between that plugin and Filezilla that could make interested admins disappointed, sure they both can upload files on your site, or rename/delete them, but comparison stops there.
Thanks for using it !