[CP-beta]Fix data for design packages (#189196)

This pull request is created by [automatic cherry pick workflow](https://github.com/flutter/flutter/blob/main/docs/releases/Flutter-Cherrypick-Process.md#automatically-creates-a-cherry-pick-request)
Please fill in the form below, and a flutter domain expert will evaluate this cherry pick request.

### Issue Link:
What is the link to the issue this cherry-pick is addressing?

https://github.com/flutter/flutter/issues/172935

### Impact Description:
What is the impact (ex. visual jank on Samsung phones, app crash, cannot ship an iOS app)?
Does it impact development (ex. flutter doctor crashes when Android Studio is installed),
or the shipping of production apps (the app crashes on launch).
This information is for domain experts and release engineers to understand the consequences of saying yes or no to the cherry pick.

This add fix data for the design package migration. It cannot be triggered by users currently, so it is a no-op. The Dart team is adding the ability to trigger the fix manually for testing.

### Changelog Description:
Explain this cherry pick:
* In one line that is accessible to most Flutter developers.
* That describes the state prior to the fix.
* That includes which platforms are impacted.
See [best practices](https://github.com/flutter/flutter/blob/main/docs/releases/Hotfix-Documentation-Best-Practices.md) for examples.

This adds support for the material and cupertino migration

### Workaround:
Is there a workaround for this issue?

No

### Risk:
What is the risk level of this cherry-pick?

### Test Coverage:
Are you confident that your fix is well-tested by automated tests?

### Validation Steps:
What are the steps to validate that this fix works?

Nothing.
diff --git a/packages/flutter/lib/fix_data/fix_cupertino.yaml b/packages/flutter/lib/fix_data/fix_cupertino.yaml
index 424b098..2990856 100644
--- a/packages/flutter/lib/fix_data/fix_cupertino.yaml
+++ b/packages/flutter/lib/fix_data/fix_cupertino.yaml
@@ -18,6 +18,14 @@
 # * Fixes in this file are from the Cupertino library. *
 version: 1
 transforms:
+  # TODO(Piinks): Link eventual deprecation PR, add testing support once available.
+  - title: 'Migrate from flutter/cupertino.dart to cupertino_ui/cupertino_ui.dart.'
+    date: 2026-07-08
+    library: 'package:flutter/cupertino.dart'
+    changes:
+      - kind: 'replacedBy'
+        newLibrary: 'package:cupertino_ui/cupertino_ui.dart'
+
   # Change made in https://github.com/flutter/flutter/pull/20649
   # TODO(Piinks): Add tests when `bulkApply:false` testing is supported, https://github.com/dart-lang/sdk/issues/44639
   - title: "Replace with 'CupertinoPopupSurface'"
diff --git a/packages/flutter/lib/fix_data/fix_material/fix_material.yaml b/packages/flutter/lib/fix_data/fix_material/fix_material.yaml
index bf3919c..d40aa36 100644
--- a/packages/flutter/lib/fix_data/fix_material/fix_material.yaml
+++ b/packages/flutter/lib/fix_data/fix_material/fix_material.yaml
@@ -26,6 +26,14 @@
 #     * WidgetState: fix_widget_state.yaml
 version: 1
 transforms:
+  # TODO(Piinks): Link eventual deprecation PR, add testing support once available.
+  - title: 'Migrate from flutter/material.dart to material_ui/material_ui.dart.'
+    date: 2026-07-08
+    library: 'package:flutter/material.dart'
+    changes:
+      - kind: 'replacedBy'
+        newLibrary: 'package:material_ui/material_ui.dart'
+
   # Changes made in https://github.com/flutter/flutter/pull/179776
   - title: 'Replaced by cupertino CupertinoPageTransitionsBuilder'
     date: 2026-01-15