How to transfer a WP site from server to local CODA/MAMP?

I have been working on a site that resides on a remote server. I recently downloaded CODA and have tried to transfer my customized site to my local server. I manually dragged the files from my remote server folder to the htdocs folder that I set up in MAMP using the CODA text editor. I also changed the wp-config.php file as directed by an online guide – changed DB_NAME to “my-site-name”, DB_USER to “root” and DB_PASSWORD to “root”. Now when I view my site at localhost:8888/my-site-name I see the un-customized version of my theme. What do I need to do so that it reads all of the modifications I made when it resided on the remote server? I am using MAMP as my local server and CODA as my editor and it appears to be running properly (I can preview the files in my local site folder).

Any help would be very appreciated.

Thanks!