Hello @srd75 ,
Sorry to hear that, but this plugin is not compatible to import from localhost to Live website. In this case the import should work but those posts or any custom post type must be present on that website with same ID then only it will work. Also can you please check the error in processing will only come if there is conflict of JS or AJAX unable to run. Kindly requesting you to please check the AJAX request in network and check for any JavaScript error in console.
I can connect with you on the call to resolve this issue, kindly requesting you to please share your availability so that we can schedule the call and proceed.
Thanks & Regards,
Akshay Menariya