If I were to explain lift to you I would say that one could think of the bernoulli equation in regard to the upper surface because the air is accelerated, and we would expect via bernoulli to see a lower pressure. We are not guarenteed this will happen because the assumptions of bernoullis equations are not strictly valid near a wing. But it gives us a qualitative idea of what is going on.
Futhermore, the air follows the curvature of the wing surface because of the coanda effect. This is again a phenomenon. It does not explain lift. It simply says that provided the curvature of the surface is not too large, the air will follow it.
We do not use bernoulli or coanda to calculate lift on a surface in any way-shape or form. Period.
There are advanced methods that do this. CFD will use a Reynolds Averaged Numerical Solver (RANS) solution. Way, way beyond the scope of this explanation. One can also use conformal mapping and complex variables, again, way beyond the scope. One could also use lifting line theory. The point, it should be clear, is that aerodynamicists don't - ever- use "Bernoulli Lift" and "Reaction Lift" when doing analysis. I have no idea where these made up terms came from in the link Andre provided - which is why reading it made me shudder, and curse at my monitor.