Backup iPhone 6 with unresponsive screen

My iPhone 6 screen stopped responding. I took it to the Apple Store and they tried replacing the screen but it did not work. So I need to get my phone replaced but before I do that I need to backup some recent photos. When I connect my phone to my Mac, I am not able to enter the passcode due to screen being unresponsive to touch(I can see the screen alright). Is there a way I can enter the passcode from my Mac instead and unlock the phone for backup?

Please suggest any way I can backup my photos from the iPhone.