XDA thread:
forum.xda-developers.com/android/apps-games/app-migrate-custom-rom-migration-tool-t3862763/post78060823#post78060823

Telegram: t.me/migrateApp

Backup:
1. All apps
2. All app data
3. All app permissions
4. SMS messages
5. Call logs
6. Contacts
7. Screen DPI
8. Default keyboard option.
9. ADB state
10. Font scale
11. App installer

... and restore in your new ROM in a unique way.

First backup everything. Then flash your new ROM. Now (surprise) flash the backup zip file(s)! Yes, a part of the restoration process occurs via TWRP recovery. Make sure to root your new custom ROM with Magisk.

Once everything is flashed, boot up your new ROM. You'll get a notification to continue the restoration process. Grant root access and relax until everything is restored.

Please share your feedback in our telegram group: t.me/migrateApp.

From version Migrate - custom ROM migration tool [4.0 GPE] gemini (v4.0) [release] (Early Access):

# Compatibility fixes for Android 11
# Add Message center to display important announcements.
# Migrate helper now allows to retry failed apk installs
# Add a "Migrate flasher only" backup option
# Save app icons as png files
# Show number of apps selected for backup in Extra backups screen
# Keep screen on when calculating backup size
# Save last state of selection in extras
# Don't remount /data partition in system test
# Many under the hood changes

All versions

Version:gemini (v4.0) [release]

Uploaded:November 1, 2020 at 4:45PM UTC

File size:11.42 MB

Downloads:3,501

Version:mercury (v3.1.1) [release]

Uploaded:April 24, 2020 at 11:59PM UTC

File size:11.64 MB

Downloads:1,897

Version:mercury (v3.1) [release]

Uploaded:April 24, 2020 at 6:26AM UTC

File size:11.63 MB

Downloads:94

Version:mercury (v3.0.3) [release]

Uploaded:April 18, 2020 at 4:30PM UTC

File size:11.61 MB

Downloads:214

Version:mercury (v3.0) [release]

Uploaded:March 20, 2020 at 4:06PM UTC

File size:11.4 MB

Downloads:812

Version:mercury (v3.0) [alpha3.1]

Uploaded:March 4, 2020 at 11:10PM UTC

File size:11.5 MB

Downloads:180

Version:mercury (v3.0) [alpha3]

Uploaded:March 4, 2020 at 11:04AM UTC

File size:11.5 MB

Downloads:485

Version:2.1

Uploaded:January 14, 2019 at 10:06PM UTC

File size:7.38 MB

Downloads:2,572

Version:2.0.1(christmas_beta)

Uploaded:December 31, 2018 at 5:09PM UTC

File size:7.38 MB

Downloads:321

Version:2.0(christmas_beta)

Uploaded:December 27, 2018 at 6:41PM UTC

File size:7.38 MB

Downloads:186