Try leaving the ignition on as you pour brake fluid in the reservoir and you bleed each caliper.
I had an issue using my Motive power bleeder which never failed me before but for whatever reason I couldn't firm up the brake pedal feel. After I gave up and did it the conventional way with the ignition on the brakes bled properly and now I have a solid and firm feel at the pedal.
Make sure that you fill the reservoir to the brim. I mean all the way up and make sure that the fluid is going to the back of the reservoir. A simple pedal pump action as you bleed will be sufficient.