Power Brake Push Rod Adjustment

I'm getting too old to bend over a fender for hours at a time, so I spent $2 grand to have my brakes fixed. Now the pedal travels half-way to the floor and the brakes practically go to full lockup. The booster that they installed is like the one pictured below, which is not at all like the OEM. I pulled the master cylinder off to check to push rod, and it seems like it might be correct. There is, however, about a quarter inch of travel (which moves the brake pedal when I take up the travel with my finger) at the part of the rod between the firewall and the back side of the booster. Any suggestions?

Booster.png