Post head-on crash w/ another bike, shifters no longer shift Hi everyone on bicycles StackExchange,
I had a head-on crash with a drunk guy who rode his bike into mine and since both shifters stopped shifting. the right hand shifter clicks but does absolutely nothing in moving the derailleur at the back. The left shifter barely clicks and also does not move the front derailleur at all. The cables (something, I gather, responsible for moving the derailleurs?) are relatively loose. How might I approach this problem? Like what are the steps you would take to verify X and then Y, and then Z to diagnose this?
Here's a video I made to demo the problem

                
            
Here's a video showing the pulling of the shifting cables manually.

                
            
Thank you very much!
Obviously no cable connection between the shifters and derailleurs, both front and rear.

The cable housings may have come out of a frame stop
The cables may have been snapped, or the ends detached from the shifters or derailleurs
Cable may have been pulled through derailleur pinch bolts
There is a possibility that one or both shifting mechanisms in the levers were broken

First follow the shift cable housing from shifter to derailleur and check the housing is firmly inserted into the frame stops. Both front and rear should have stops on the down tube near the head tube, and run though a guide under the bottom bracket shell. The rear cable will have stops on the drive side chain stay.
Check the rear derailleur cable is actually attached to the rear derailleur. (The alloy end cap that fell off just stops the cable fraying, and is easily replaced.)
Pull the cables to tension them and work the shifters to see if they are pulling or paying out cable at all. If not you'll have to inspect the shifter mechanism and see if the cable has snapped in the shifter.
If the shifters do actually pull and pay out cable, I think you may just need to detach the cables from the derailleurs and re-set-up the cable and derailleurs.
Park Tool has good step by step guides: https://www.parktool.com/blog/repair-help/rear-derailleur-adjustment, https://www.parktool.com/blog/repair-help/front-derailleur-adjustment/.