This app does connect to the internet to fetch food data from Open Food Facts if the setting is enabled. When you import data from Open Food Facts, the privacy statement of Open Food Facts applies.
No data is uploaded by the app to any servers except the requests that have to be made to import food as mentioned above and iCloud data mentioned below.
Settings and food items on the device will be stored on the device and might get backed up to iCloud if this is configured in the users iCloud preferences.
This statement does not cover functionality that is provided by Apple (eg. the App Store analytics, crash reports, and iCloud functionality).