Hi Marwan,
Regarding the export of tables, it is indeed already on the list of features, we just have not gotten to it yet! Thanks for adding one more vote for this functionality :)
For the enrichment, I assume you perform it on the same set of nodes on STRING and in Cytoscape. In that case, you could also check the Filter icon in the STRING Enrichment table in Cytoscape and see if any of the filters are on. One possibility is that the redundancy filtering is on and that this leads to a different set of terms compared to STRING. Another option is to filter by different categories.
If none of the filters is enabled, it might actually be a bug, so I would ask you to please share your session with me if you don't mind.
Best wishes,
Nadya