Unfortunately, it is not possible to preserve the status of the strings while transferring a resource from one project to another at once via Transifex Web Interface. This can only be achieved via API and scripting.
The way you can get this information from API can be done as follows:
#1: Run the following API endpoint for every target language of your project for the specific resource you are interested in. For example:
–> Language_code: af
https://www.transifex.com/api/2/project/project_1/resource/resource_name/translation/af/strings/
–> Language_code: ar
etc…
In the response, you will get all the translations for your languages along with their review statuses as you can see below:
More information about this API endpoint can be found here [Uploading and downloading a collection of translation strings].
#2: Then filter the entries by “reviewed: true”. That way you can have all the reviewed entries per target language along with their uniquely defined hashes.
#3: Finally, using the same API endpoint, you will need to push these strings to the new resource.
Another option would be to download your translation files using the mode “Download only reviewed translations” and upload them to your new project. Then enter the editor, apply the filter “translated:yes” and review them in bulk. Once you are done, enable the "Translation Memory Fill-up " in your project’s settings and allow TM to automatically translate all the remaining untranslated entries. Make sure that both projects share the same TM suggestions [TM groups].