Re: "Origin" Can't be opened because Apple cannot check it for Malicious Software

Barring accidents, many common apps like Origin have such an issue on macOS Catalina. Usually you can bypass this new macOS gateway by opening the app through System Preferences > Security & Privacy > Check Allow apps downloaded from App Store and identified developers > Click Open Anyway.

If it still doesn't work, I assume that you are double clicking on the Origin install icon, yes? Don't do that. Instead right mouse click on it. You should get an Open option in context menu: Select Open. Then the next dialog box you see will be similar to the one you report, but it will also have the Open button added. Choose Open and voila.

It's just a general tip to fix app cannot open in macOS Catalina issue. Hope it may help you.