Soft brake pedal after flushing brakes

I am the original owner. No prior problems with brakes. Brake pedal gradually started feeling soft. Recently put new pads front and rear. Checked brake fluid it looked milky not transparent but not too dark as in some videos. Replaced fluid and bled the calipers. Brakes are good, but ever since I bled brakes the pedal feels even softer and with the engine running if press hard it goes to the floor. On a go it takes a light tap to stop the vehicle. If press harder wheels start skidding on a dry surface with ABS doing its job. In other words no problem with brakes performance. The only concern is the soft to the floor brake pedal. Performed flash with a helper pumping brakes. No warning lights present. What is the likely cause: air trapped in ABS module, damaged seal on master cylinder or something else?
Thank you.