I wonder what he's trying to accomplish. Progesterone would make her think she's pregnant, not push a new wave of follicles. Seems like a waste of money to me. And you said it worked?
It is extremely rare for a mare to go into labor without actually having a foal or the remains of a foal. Mares do not have false pregnancies. On rare occasion they will bag up for no apparent reason (even yearlings) and look like they may foal, but its not a reproduction issue, generally its a hormonal hiccup. There is no shot to "shock" their system into not foaling. PGF 2a will destroy a CL and (if the mare is cycling) bring her back into heat. Regumate will prolong a mare's diestrus, or help keep a foal if the mare's CL is not producing enough. Oxytocin will cause a late term mare to go into labor, and will also squeeze the uterous. Estrogen, FSH, GnRH, etc will affect a mare's cycle but not a pregnancy. There isn't many other shots one can give, reproductively!
The biggest thing that is called a false pregnancy is when a foal is lost after 50 days or so. At that point the fetus has ceased to be an independant embryo and has begun to "implant" (mares don't implant like woman do) into the mare's uterous. Once that happens, even if a fetus is lost, the mare's body won't cycle again until the beginings of the placenta are removed and the uterous "reset". That may take a few weeks, months, or even an entire season. (one of the reasons twin checks are so important)