Problema ta apare din cauza MX-urilor setate:

Your MX records that were reported by your nameservers are:

5 alt2.aspmx.l.google.com 173.194.79.27 (no glue)
10 aspmx2.googlemail.com 173.194.71.26 (no glue)
10 aspmx3.googlemail.com 173.194.79.26 (no glue)
25 articolesite.info 144.76.15.163 (no glue)
0 aspmx.l.google.com 173.194.70.27 (no glue)
5 alt1.aspmx.l.google.com 173.194.71.26 (no glue)

Daca vrei ca mailul sa functioneze pe contul de la hosting scoate mx-urile de la google, din moment ce acestea au prioritate mai mare decat mx-ul de la hosting si pe google nu exista acel cont este normal sa nu functioneze:

Google tried to deliver your message, but it was rejected by the server for the recipient domain articolesite.info by aspmx.l.google.com. [2a00:1450:4008:c01::1a].
The error that the other server returned was:
550-5.1.1 The email account that you tried to reach does not exist. Please try
550-5.1.1 double-checking the recipient's email address for typos or
550-5.1.1 unnecessary spaces.