My wife has been making a Bunny cake for over 30 years.
It looks just like your bunny cookie.
She usees either a white or yellow cake mix and cuts 1 of the pans of cake to make the ears, bow tie and head.
It's a fun thing to do if you have kids. Because you can let them help you decorate it.
Did I mention that it makes a great center peice for the table on Easter.