The service category taxonomy translations are not updated in the permalinks of the secondary sites as follows. We flushed all cache but the problem persists. Any idea? Thanks.
I understand you need to translate the "service" part of the slug, correct?
If so, you don't see it translated because you're trying to translate the wrong stuff. Your screenshot is from WPML > Taxonomy Translations, but what you have to translate is the post type, not a taxonomy.