To improve delivery from your domain:
- Send only from addresses created in cPanel, using SMTP with SSL
- Keep SPF and DKIM records (cPanel Email Deliverability can help)
- Do not send bulk unsolicited mail
- Optional SpamExperts / professional email addons are available in the Store if you need extra filtering
New domains can have a weaker reputation at first. If a specific provider blocks you, include headers in a support ticket.