How to fix issues with computer contacts not syncing with phone?
Fix Contacts Syncing issue
Make sure that you're signed in to iCloud with the same Apple ID on all of your devices. Then, check that you turned on Contacts in your iCloud settings.
Make sure that you are using iCloud exclusively. Using Gmail or other contact book sources may mess up saving of groups if backup to iCloud is on.
Make sure the contacts are showing up in your phone's contact book.
a. If not, go to your Contacts app and pull it down to refresh.
b. Sign Out of iCloud.
c. Restart your device.
d. Delete and reinstall the app.
Check for hidden contacts or check if your contacts have any symbols like " ' *.
a. If they are hidden, you can unhide them by tapping the Menu.
b. Tap on View Hidden Contacts
c. Select the contacts you wish to unhide and tap Unhide.
Chat with support if you still have issues with your computer contacts syncing with your phone.