emaoi problem.
Messages sent from one email lists a different email when the recipients receives them. I have several email/Gmail accounts and all the emails shown in the images are mine.
פתרון נבחר
If account A is sending through gmail smtp for B, gmail will switch out account A's address for account B's address, so recipients see the message as sent from B. Tools/Account Settings, select an account in the left pane, then look at Outgoing Server (SMTP) in the right pane, and click Edit SMTP server... to compare the User Name of the selected account with the User Name of the smtp. They should be the same. Add more smtp servers if necessary, and give each one a distinct Description to it's easy to match them with the sending accounts.
https://support.mozilla.org/en-US/questions/1324013
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Usually this is caused by using the wrong SMTP server to send mail.
פתרון נבחר
If account A is sending through gmail smtp for B, gmail will switch out account A's address for account B's address, so recipients see the message as sent from B. Tools/Account Settings, select an account in the left pane, then look at Outgoing Server (SMTP) in the right pane, and click Edit SMTP server... to compare the User Name of the selected account with the User Name of the smtp. They should be the same. Add more smtp servers if necessary, and give each one a distinct Description to it's easy to match them with the sending accounts.
Thank you both!!!!