Windows Live Mail sign-in issue after 2-step verification

I have recently started using Microsoft 2-step verification for all my devices (Win 8.1 Toshiba PC, Asus PC, Android phone, and tablet). Everything went smoothly with the exception of Asus PC. The problem is WLM does not allow me to sign in. I also have Outlook mail app on Asus and it worked well. (I use both WLM and Outlook for my hotmail account as well as the gmail account.) I have tried resetting my password several times.  tried the repair option, and I even deleted live mail and reinstalled it. I have even entered authentication codes to indicate that I used that PC frequently. The end result was WLM accepted neither the hotmail password nor the gmail password. The only difference between my Asus PC and Toshiba PC is that I use a local account to sign in Asus and a Microsoft account to sign in Toshiba. I have also tried the trusted PC option but I just could not execute Microsoft's instructions because, unlike Google's instructions for trusted PC, they were poorly written and I was not able to complete the process. (I prefer to use WLM because, compared to Outlook, it requires less mental energy.)