Does anyone know how to retrieve the number of generated cuts in the informational callback?

This doesn’t appear to be wrapped at the MathProgBase level in Gurobi.jl, but following the example of cbgetmipsolution (Gurobi.jl/MPBWrapper.jl at 120d606da08facffb206d73d932dbb0bf7d7001d · jump-dev/Gurobi.jl · GitHub) you could write a similar wrapper that calls Gurobi.cbget_mip_cutcnt. I don’t have a Gurobi license so I can’t test this.