My Innova 3100 CAN OBD2 scanner will not establish a data link to my 2005 Hyundai sonata

NO car told at all, maker yes,model no, and year no.
In USA the first OBD2 car is 1996. so there is that fact.
this is easy stuff scan tools
rule #1 besides ,Innova batteries good.
1: pin 16 on the OBD2 DLC jack must be 12vdc, if not the fuse is blown in the car. bingo , CAUSE.

rule #2, old scan tools from 1996 to even 2007 can not do new cars CAN_bus communications at all and in fact the 2 pins on the tool are (if)missing, pin.6 and 14 pair. is can_bus.network is missing.

YOU SAID OTHER VEHICLES FAILS BUT GAvE NO EXAMPLES.
NOR TOLD THE INNOVA MODEL.# I have many here..

IF the tool is old, most these car will fail

http://www.auterraweb.com/aboutcan.html

the best tool is in fact marked CAN_BUS certified..

OBD2 is a USA invented standard and works on all cars here 96up
but CAN_ bus was added later, each tool maker added it , as late as 2008, some were slow. 2004 is better year to do it but many did not.
All do now. modern tools not old NOS (new old stock tools)

ABS and SRS is a totally other story.
topic engines ONLy.
the original Innova 3100, (old) fails on most new cars, lacks can-bus
they kept the name 3100 and added a letter to the end that fixes this problem. but is newer tool, (no free upgrade)
t reset the tool, unplug it from car.
remove all tool batteries for 15min and put back./
the tool does not lock up to any car it is just a passive receive only scanner, it can not transmit and exercises cars devices..
id does allow reading all engine sensors live, PIDs or some transmissions..
Innova pretends their oldest tool 3100, (ver0) dose not exist, they have zero info or support on their old tools.. 3100G,F,J,"SR" and up yes.
yes the told has CARS PCM DTC reset button and does work , but not if CAN_bus not supported in the tool.

Hyundai Sonata Questions - My Hyundai Sonata won't start ...

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CarGurusMar 5, 2013 - My Hyundai Sonata won't start, everything comes on when the key is turned but no ... it is in park and until I jiggle the shift until the light does come on it will not start. Was in ... My 2009 Sonata has been "perfect" with no issues.

2009 Hyundai Sonata turns over but will not start ... - CarGurus

www.cargurus.com > Questions > Hyundai > Sonata

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Many things will turn that light on, you will need a code reader to get a system to tackle.

Insert key and turn ignition without starting the engine while the tool is connected.

Because it is likely not up to date on CAN BUS technology, an uprade is suggested.

Try establishing communication under global/generic. use the appropriate key and 'can' adapter may be required.

It's not "normal" - it's an ian ignition key lock freeze-up as a known issue; I finally had to get the entire assembly replaced on my Hyundai 2007 Sonata. It happened to me about 8 times and had to have the car towed 2xs....finally relaced it under the 100k warranty to get it fixed = it's covered. Take it into Service and have them fix it.

sounds like a starter. if possible without getting hurt maimed or mutilated, try tapping on the starter (best done with a rod standing beside the car) while someone holds the key in the start position. if car starts (works about 50% of the time) it's the starter. otherwise, if all lites come on, radio works, etc but nothing when you turn the key, replace the starter

The problem is in the tumbler(s) inside the assembly. Before you do anything, try penetrating oil to see if that works... otherwise, the entire assembly will need to be replaced.