Here is how I finally managed to do this on mac:
First: Find the file path of your Arduino program. Do this by going to your Arduino program in the IDE, select the "Arduino" tab at the top, then select "Preferences". This should pull up a Preferences box where you can check the "Compilation" box under the "Show verbose output during:" section, then select "OK".
Here is a picture of what i'm talking about:

Now when you go into your program in the Arduino IDE and you click the "verify" button you should be able to find your .elf file in the terminal window. Copy the line located directly above "Sketch uses xxx bytes (x%) of program storage space..." (I have highlighted the line you are looking for below):

Here is the line I have Highlighted: /private/var/folders/d7/ffdh68g156vdshm9gq4pf3440000gn/T/AppTranslocation/FFDDB455-276F-4474-8B17-B9A99F34B321/d/Arduino.app/Contents/Java/hardware/tools/avr/bin/avr-size -A /var/folders/d7/ffdh68g156vdshm9gq4pf3440000gn/T/arduino_build_829591/Working_Sep25_PMOS_Sketch.ino.elf
You can now erase everything before the -A flag and only copy this part: /var/folders/d7/ffdh68g156vdshm9gq4pf3440000gn/T/arduino_build_829591/Working_Sep25_PMOS_Sketch.ino.elf
Second: follow this guide which shows you how to download the avr-gcc
package which you are going to need.
Third: Open the terminal and run this command: `avr-objdump -S {insert path to your .elf file we copied earlier}. You should now have access to the assembly code.