So if you go into the Content Manager and select any of the Log-Stack-industrie and right click List Dependencies you will see a list of stuff. What you are interested in is the Commodities.
<kuid2:82412:201010:1> Products-Log-Stack-40-01-TS12
<kuid2:82412:201011:1> Products-Log-Stack-50-01-TS12
<kuid2:82412:201012:1> Products-Log-Stack-23-01-TS12
<kuid2:86661:9440305:2> 32ft logstack
<kuid2:86661:9440306:3> 40ft logstack
<kuid2:86661:9440307:2> 16ft logstack
Then if you right click on each of these and list Dependants you will see a list of everything that uses those commodities that you have installed and looking at the ones classed as Train you have a list of cars that will work with the industries.
Or you can go from the other direction and look at the dependencies of the rail cars you want to use and then find industries that support them.
Weirdly enough doing that for TUME's logging cars gives you something like this.
<kuid2:82412:300671:1> TUME-300671-Log-Stack-40-TS12
<kuid2:82412:300672:1> TUME-300672-Log-Stack-50-TS12
<kuid2:82412:300673:1> TUME-300673-Log-Stack-23-TS12
<kuid2:82412:300674:1> TUME-300674-Steel-Pipes
<kuid2:82412:300675:1> TUME-300675-Steel-Pipes
<kuid2:82412:300676:1> TUME-300676-Steel-Pipes
As you can see there is no overlap, in other words you can't load TUME's logging cars from TUME's logging industrie. Odd that.
Edit: Ah ha! While
Log-Stack-Industrie-201-TS12 and Log-Stack-Industrie-102-ts12 1 and the rail cars are payware and can't be altered if you can replace the industries with <kuid2:82412:5000051:2> Log-Stack-Industrie-101 and <kuid2:82412:5000052:2> Log-Stack-Industrie-201 these have the correct commodities to load some rail cars but still not the TUME cars. Both industries are on the DLS.
If that doesn't work you should contact TUME and ask him to update his logging cars.
Edit again; turns out that TUME has three sets of three sets of stacked logs and none obsolete any of the others. The two sets that have the TS12 post script are seasonal and would work best with his seasonal rail cars. The MILW logging car is not payware and it should be possible to modify it to accept all three sets of stacked logs but I have not attempted it yet.