What's your theory?
The Exodus is fiction.
Is there any evidence of Israelites in Egypt?
There is no indication that the Israelites ever lived in Ancient Egypt, and the Sinai Peninsula shows almost no sign of any occupation for the entire 2nd millennium BCE (even Kadesh-Barnea, where the Israelites are said to have spent 38 years, was uninhabited prior to the early 12th century BCE).
Moses is a completely fake fictional character. His myth was a plagiarized account of the deeds of Pharaoh Ahmose (whom the Greeks called Amoses) of Waset (Luxor), who united the people of the Ancient Nile in 1550 bce and liberated the Nile Delta from occupation by the Hyksos, bringing about the era of a New Empire and the restoration of Kemet as the most powerful civilization on Earth.