When the LORD finished speaking to Moses on Mount Sinai, he gave him the two tablets of the covenant law, the tablets of stone inscribed by the finger of God.
Exodus 31:18
“the tablets of stone inscribed by the finger of God.”
Yeah... and after he broke them God made him re-carve them by hand.
“When the LORD finished speaking to Moses on Mount Sinai, he gave him the two tablets of the covenant law, the tablets of stone inscribed by the finger of God.”
Read a little further.
When Moses came down from Mount Sinai he saw the Israelites worshiping the golden calf and threw the tablets down and they shattered.
Moses then made a copy of the tablets that God had written and that is what was placed in the Ark of the Covenant.
So, if they found the Ark and it contained the tablets they would have been written by Moses.