Hi Taina,
You could do it with Ayeu eyeShare, a lightweight IT automation solution.
It has a built in integration with both Orion and Remedy so you could get alerts from Orion and open tickets in Remedy within a few minutes.
Here you have an example of such integration between SolarWinds NPM and ServiceNow but the same can be done for Remedy: Integrating Ayehu eyeShare with SolarWinds and ServiceNow - YouTube.
Try it for yourself.
Cheers,
Tom