That feature is from the OS not Bridge.
Hello. Anyone know, how to turn off removing file by pressing Backspace button?
In the Bridge preferences general tab at the bottom is an option to reset all warning dialogs. If you press on this hitting backspace will show again a warning dialog. If you choose the option reject and also click on the the option for not showing the warning dialog again next time it will only set the rating to reject. or just leave the option to not show again unchecked and this will bring the dialog in front every time you hit back space the warning dialog appears.
by default cmd + backspace deletes the files and by default this also puts them in the trash. I just tried it again with backspace and choose delete and this did put the file in the trash folder where I could easily bring the file back to the folder where it came from.
And also be aware that if you hit cmd + Z directly after hitting backspace by accident it will undo the last command and puts the files back in the content window.