We have a very good explanation for experts though. It turns out lift is really damn hard to explain since fluids are quite complicated. There's no reason to expect there's a layman's explanation at all, but you can make one from Newton's laws (Navier-Stokes -- conservation of momentum) and conservation of energy (Bernoulli) and conservation of mass (continuity equation)

They are very complicated and the complexity is required to understand all the weird edge cases