Find a friend or a local LBS that has one of those groupsets and plug yours in. See if it at least moves- if it does it probably works fine.

Plug them into your 11 speed they should work fine. E-TUBE 10 speed vs 11:speed is differentiated by the derailleurs not the shifters. I run 6870 derailleurs with 6770 brifters. The only no go is mixing front and rear 6770 and 6870 derailleurs due to Shimano programming it out in a firmware update.

Bought some unpackaged replacement brake levers (in case) for $100 and then wondered, do they work??? Was told by the local bike shop that you have to plug them in to see if they work with the entire system. I don't know how hard or easy that is to do, as I haven't tried it yet. I'm a real wuss in this way and only necessity makes me any better.

Please let us know how it goes for you.

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Indoor Triathlete - I thought I was right, until I realized I was wrong.

Update: I plugged them in to my 11s system, let them charge up for a bit, and tested them. They work just fine. Thanks for the advice everyone.