Moto G4 Plus (India) - Contacts option - not user friendly

Here are the steps you have to follow to successfully add and delete contacts on your Moto G4 Plus Phone:

Adding a Contact:

1. Go to the "Apps" tab that is listed on the home screen.
2. From there go to the "Contacts"
3. There you see the option "All Contacts" where there is a "+" symbol visible in the lower-right corner of the screen
4. You have to Choose an account where you want to save the contacts
5. Now Enter the contact's name, phone number,and other details in the given fields.
6. click on the "Done" tab to store the contact.
7. Repeat the same for all your contacts

Importing and Exporting Contacts:

a) Go to the "Contacts" from the "App" icon listed in the home screen.
b) Then from the "Menu" select the "Import / Export" option.
c) From there you have to Select the "Import from storage", "Import from SIM card" or "Export to storage", whichever you need.
d) Now keep following the on-screen instructions to import or export the contacts you need.

To Delete Contacts:

Go to the "Contacts" from the App icon.
There select "All contacts".
Now choose the contact which you want to delete
Now, select the "Edit" option from "Menu"
You will get here the "Delete" tab, and you have to click "OK" to confirm.

Though I have not used a Moto G4 Plus, here are the ways to manage your contacts on the device -

Add a new contact