I had a relatively minor separation of some material when the rubber pad on my personal jack shifted, nearly identical to your damage:
If you look at this angle, you can see that I had only mangled an outer "sheet" of sorts and that the main (harder?) lift point was still straight:
This still drove me nuts, so I used a crowbar bend the metal back to somewhat straight and then a rubber mallet with a 2x4 to beat it flat:
I thought I'd finish-up with a portable vise to really clamp it in place, but it simply was not necessary.
In case you're wondering, the car is on a four-post drive-on lift in these photos. My car has been on a dealer's lift just 2-3 times and a local Euro shop's twice. I'm very choosy after having my Mk3's rockers messed up and probably won't ever allow the car to be lifted anywhere else. That's quite a grudge!
I want to buy a jack with a longer lift arm so there's less lateral movement as I lift the car (which is what caused my pad to shift).
Try a crow bar and a 2x4. It worked fine for me.
Good Luck,
Scott