Did Allah create Adam with private parts (front and back)? And what is the evidence for that?

It appears that Allah created for Adam two outlets (for procreation) like his offspring, and this is indicated by the Almighty’s saying: (Then when they tasted of the tree, their private parts became manifest to them, and they began to fasten over themselves with the leaves of Paradise). Ibn Kathir mentioned, quoting Ubayy ibn Ka'b regarding the interpretation of this verse, that when Adam committed the sin, his 'awrah (private parts) became manifest to him. In the Arabic language, 'saw'ah' refers to the private parts and anything one feels ashamed of, as stated in the hadith of Ibn Abbas and the tafsir of Al-Farahidi.