I uninstalled and reinstalled evernote app a couple of times, I even restarted my phone but it didn't work. But fortunately, right after I posted my first question here, I tried to log in again and I finally suceeded. I don't know why. Anyway, if anyone have the same problem as me can try this.
I had the same problem when logging in evernote after I install evernote in my new phone (samsung galaxy A), it keep saying cannot log in due to bad connection, despite my connection was excellent, and I only installed evernote app on only one device. I wonder is there anyone knew this kind of issue, please kindly help me to fix it. Thanks alot.