Email cannot found in 'Sent' Folder in gmail using SES

Hi, is there any way to track the sent email history in Gmail's 'Sent' folder when I send the email using the SES?

I used PHPMailer in the code, allowing me to check the 'Sent' email in the Gmail I just sent. However, the sent email by the SES service was not found in the 'Sent' folder of Gmail.