What plugin do you suggest for accessing the database on my WP Engine site?
Actually, we don’t suggest you use any database management plugins! In fact, it’d be better if you just used our copy of phpMyAdmin.
You can access phpMyAdmin by logging into your customer portal and clicking on the Admin MySQL link on the right side that is associated to the install you wish to access the database for.
From there you have full access to do imports and exports of your database as well as other management tasks.