GMAIL Push folder help

I have set up google sync and have my inbox pushing to my iphone however in my folders where i have multiple emailed stored, none of my emails show up. I have gone into settings and set no limit on emails to be synced as well as checked the folders i want to be pushed but i dont get the emails that are in the folders that I have had stored in there for a long time. Will those emails not push to the iphone, they were there when i had it set up as IMAP, but I deleted that account when I set push up. Any help would be greatly appreciated.