Got new phone trying to recover my contacts from my previous lost phone

Make sure you logged in with all of your third-party email accounts through "Settings/Contacts/Accounts/Add account" section. Enable "Contacts" section before you save the account credentials.

You can also try to recover your contacts through "iCloud.com" website via "Settings/Advanced Settings/Recover Contacts" if you believe you deleted them accidentally. Otherwise, try to restore an available backup, which was taken before the incident and finally contact your email/contacts service provider if you believe the data was stored on your third-party account. Maybe they can recover your data.

Additionally, you can try "Import from SIM" through "Settings/Contacts" section, if you believe your SIM card stores the data.

If you have a iCloud back up or have a backup from a iPhone you can restore the backup