@kawan-osman Based on your image I can say that you want to add your event in the iPhone Calendar app.
For that you should use package - https://pub.dev/packages/add_2_calendar in your Flutter Project and then check below sample code for event add.
Add2Calendar.addEvent2Cal( Event(
title: 'Test eventeee',
description: 'example',
location: 'Flutter app',
startDate: DateTime.now(),
endDate: DateTime.now().add(Duration(minutes: 30)),
allDay: false,
iosParams: IOSParams(
reminder: Duration(minutes: 40),
),
androidParams: AndroidParams(
emailInvites: ["test@example.com"],
),
),
);
For more detail check example of package link.