Are you using a product reviews app of some sort to collect and showcase these reviews? If so, which one are you using?
If there is anything else I can help you with, please let me know.
From my experience, You can publish Judge.me reviews to a current live theme or an unpublished theme within the App settings. In case you already choose Judge.me settings to publish on the current live theme > once you publish a new theme, the review should be synced automatically.
You can check the installation guide here, especially step 5 and 6. The Judge.me support team is amazing, so if you have any troubles with the app, you should reach out to them directly. They sure will help you.
I hope you find this helpful.