Anytune (Free), Anytune Pro+ ($14.99US) and Anytune Mac ($34.99US) are different and distinct products.
Anytune (Mac) and Anytune (iOS for iPhone/iPad) are distinct products sold in different online stores provided by Apple. They are two separate purchases that run on different systems.
Anytune (iOS for iPhone/iPad) is a Universal app that you can buy once and download to all your iOS devices using the same Apple ID.
Anytune (Mac) can be installed on all your Mac computers you own using the same Apple ID with one purchase.
You can share the music meta data (settings, marks, notes, lyrics) between products.