Folders from Gmail sync issue

I'm a new user of FM, and I've enjoyed it so much that I decided to leave Gmail. I migrated all my emails to FM and set the IMAP settings to delete (not archive). However, I have an issue.

I created a few rules in Gmail that direct certain emails to specific folders. The problem is that I don't receive these emails in FM. I still see them in the folders in Gmail, but not in FM. Today, I opened Gmail and noticed many new emails in those folders, but they are not in FM.

How can I resolve this issue?