Problem with mail and account association

[raitis upens]

It is hard to explain in general, but I can give an example:
I have an Microsoft account created with "my_name[at]address_01.com", but when I open the e-mail aplication it shows content from another "my_name[at]address_02.com" So the question is how can I get rid of wrong content asociation from "my_name[at]address_02.com"? and why I can't see email content from "my_name[at]address_01.com" that is microsoft account address?

P.S If it helps, "my_name[at]address_02.com" is acctually "[at]gmail.com", but the first one for MS account is "[at]lnmm.lv".