The spinner was on course for a record debut haul to bowl England out for 281 on the first day of the second Test in Multan.
Labuschagne, Head put on a 297-run stand for the fourth wicket.
The Australia tour of India for the Border-Gavaskar Trophy will kickstart in Nagpur on February 9.
Key players make comeback as Bangladesh announces squad for test series against India.
They combined for an unbeaten fourth-wicket partnership of 199 to power Australia to a commanding position.
Miraz was top scorer for Bangladesh with an unbeaten 100 of 83 balls while picked up two wickets.
England pull off one of their greatest victories with a 74-run win over Pakistan in the first Test in Rawalpindi.
Bangladesh slipped from 128 for 4 to 136 for 9 before a last-wicket stand took them through.
Pakistan need 263 to win on the final day with 8 wickets in the hand.
Nathan Lyon the hero as World Test Championship picture becomes clearer.