That right there is a dead battery, not dead as in discharged, it is essentially deceased. Even it you hit it with a brute force charger and are able to get it charged up until a smart charger will take over, that battery will never be right again.
<Since this is a general population Forum, the following is written in more detail than what you may need to test your electrical system.>
When you get a new battery hook up the positive wire first. Now take your spiffy meter and put it on the DCA scale (DC amps) with the range pointing at the 10A setting; leave the black lead where it is in the meter and plug the red lead into the 10A socket. Connect the red meter lead to the minus (negative, black) post
of the battery and the black meter lead to the disconnected black battery cable on the bike. The meter should bridge between the battery terminal and the bike's battery cable.
DO NOT TURN THE KEY ON, AND DO NOT, DO NOT TRY TO START THE BIKE LIKE THIS.
What you read on the meter is the quiescent (parasitic) power draw of your bike. With no accessories installed it should be less than 0.002 amps (2 milliamps). If you read more than 0.010 amps (ten milliamps) this is undesirable and anything over 0.100 mA IMO, is not good. I had you start out with the meter set in case of a doomsday reading of > 2.000 amps, if it is less than that as it should be, move the red meter lead to the mA scale and set your meter range to an appropriate setting.
If you can confirm that your key off current draw is < 10mA you have no problem and your dead battery was just one of those things that you wished happened to someone else
If your battery draw with the key off is more than 10 mA IMO, the current draw source should be found and either fixed or changed over to an ignition switched power source.
A typical FJR battery is a 12 amp/hour battery. It can supply 12 amps for 1 hour before being totally discharged. Or, 1 amp for 12 hours. Or 0.01 (10 mA) for 1200 hours or 50 days, so you should be good for 25-30 days and still start.
BTW, remove the meter, hook up the negative battery wire when you confirm all is well and trickle charge the battery over night to get it off to a good start. Now, ride, ride, ride and smile.