Is the HC05 only transmitting to the boards? If not, you can have a conflict where both Arduinos send data to the HC05.
If the answer to above question is 'yes', connect the TX of the HC-05 to both Arduinos (e.g. use RX1 on the Due and a pin for Softwareserial on the Uno); connect the GNDs of both boards to the HC05 and power the HC05 from one of the Arduinos (not both).
Better alternative is to connect one of the extra serial ports on the DUE to the Uno. The Due will receive the bluetooth data on e.g. RX1 and send it to the second Uno over TX2
Can you explain why you would use two Arduinos?
Your topic has been moved to a more suitable location on the forum. Installation and Troubleshooting is not for problems with (nor for advise on) your project 
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