If you can’t connect to Origin, it’s usually due to a blockage of data somewhere along the route of your Internet connection.
Some of the things that can get between Origin and the internet can be:
Firewalls and Internet Security Software: Make sure that you’ve added the Origin client as an exception to any Firewalls or other Internet Security Software, like Ad-Block, you may have running so that your connection to our servers isn’t blocked.
Your software may even have some internet ports blocked. If so, the following are used by the Origin client and must be open for a smooth connection:Server outages: Servers will sometimes just go down, whether due to maintenance or an issue. Typically an outage can last anywhere from a few minutes to days. Check the official website for the game you are trying to access, or the official game forums, and right here at help.ea.com for any information on server outages and maintenances.
TCP: 80; 443; 9960-9969; 1024-1124; 18000; 18120; 18060; 27900; 28910; 29900
UDP: 1024-1124; 18000; 29900
Click on this link for more possible solutions
https://help.ea.com/article/connection-issues-with-origin
Hope this helps
@Edit
Ako to ne pomogne uvijek preostaje dobri stari
Customer Support, a evo i kako ces kontaktirati:
Please contact our Customer Support, here's how:
Click on the following link:
https://help.ea.com/contact-us
Make sure you are logged in (top right corner)
Click on the blue button "Contact a Game Advisor"
Enter the name of your game or product (or "Origin" for account-related issues) and click "Find Solutions"
Select the type of issue and the platform you play on, and click on "Find Solutions".
Click on the blue button "I still need help" if the FAQ articles do not apply to your situation.
Select a contact option. Note that you may get different contact options depending on your country.