I have a very short question. Should them match or not?
If I have name in iTunes for example:
Notes+ - the best and professional way to display and manage your notes
Can be different, and most often it is, for instance, the name on the AppStore is searchable so your app can be found by searching for "manage your notes".
The app "Fooducate" shows on your iPhone as "Fooducate" and in the AppStore it is "Weight Loss Coach by Fooducate - Personalized Calorie Counter, Food Tracker, Motivation, and Healthy Recipes"