Bump starting Triumph EFI bikes is not generally very productive.
The exception might be when the battery has a decent charge, but the issue is the starter interlock from ECM is inhibiting the starter.
(in that case do the 'paper-clip' jumper per
this post to bypass the ECM interlock to use the starter)
If battery is truly discharged however you are quite up against it;
the first & main issue is that the ignition needs to be on and thus headlights already sucking whatever power is left in the battery and even robbing any generated current as the engine begins to turn the crank during the attempted bump start. With a 'normal' start, the headlights are cut by the same relay that transfers power to the starter soleonid; this does not happen with a bump start and the headlights will remain on.
So - to give yourself a fighting chance, you need to inhibit the headlights before you even begin.
Simplest way to do that is to remove Fuse 9 - this would also inhibit your normal Start button, however since you are not using that anyway, it's OK to pull it for bump start. Once started (if you're lucky!) you can always re-insert the fuse to get your headlight back.
As a post-script with reference to this part:
Quote:
Bridging the two terminals with the red arrows will enable the bike to start....

That will involve pulling ALL the starter current through your shorting device (screwdriver or whatever is what is typically used!) - that will generate significant arc!
If I might offer a slight modification to that process, a much gentler approach is to 'short' the large input battery power terminal to the small coil terminal - this will close the solenoid and pass the power internally to the output terminal - difference is you are 'shorting' few hundred mA with your shorting tool, vs 80A or so between the high current terminals.
Again however, if you can access the starter relay, then pull that out & bridge between the two terminals with the white/red wires with a paper-clip and use the start button as per link above.