Correct, a proper subject should be something like
"How foils take energy from a flow and provide lift".

The energy of the lift (plus heat and other losses) is equal to the energy taken from the flow, so there is no "creation of lift".

The exact mechanism is complex and involves deviation of the flow and creation of vortices.

I suggest the online book "See How It Flies" for more details in simple language.

Luiz