Integrating My Google And Yahoo Emails, Not All Emails Go To Gmail.

Check to be sure the missing emails aren't simply going into your spam filter. If so,  you can just add them to your contacts so they won't be sent to spam. If this isn't the case and you'd still like to make sure your accounts aren't connected, go into your Gmail account and click on your name at the top right. Then click on Account. It should open up a new tab/window. From there you can choose which accounts are connected or removed from any connections, to your account. You can also disable Pop mail in your gmail under settings.