That Grab it thing is for phillips screws.
I have used I think every product to remove broekn bolts.
The best, and safest one to use is also the most expensive.
It is the one that looks like a allen wrench with extended corners. Almost like a long torx bit, but not so dramatic.
You use the associated drill bit, and drill into the bolt, and then gently hammer the star/hex pole thing in. then you have a special bit that fits over the hex star thing, and has a large hex outside that can be grabbed witha a wrench. Then you just twist her out.
I only found this from my snap on dealer. never seen it at home depot.