There's no name for the bag because it's fake. I'm sorry but I hope you can get a refund.
In the future, please post authentication requests here for items when you aren't sure of authenticity:
Authenticate This COACH - **see first post for format**
Did you buy the bag online? If so, please post a link.
My mom got this bag last year from the coach store so there is no way it can be fake. I’ve also looked at the stitching and fabric materials, it’s all real.