I just started up Ligthroom CC and attempted to import some RAW photos I took this past weekend. When I imported the files, the program stated that the CR2 files were not in a supported format. I don't understand how this can't be done on a camera that is clearly in the list of supported cameras.
Adobe Photoshop Lightroom 5 v5.7.1 and Camera Raw 8.7.1
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T6i is not supported by Lightroom 5.7.1. You'd have to upgrade to Lightroom 6 to get the support that allows the CR2 to be imported into Lightroom.
If you want a free alternative, download the Adobe DNG Converter and convert your raw to DNG and then import the DNG into Lightroom 5.7.1.
If you have LR CC then you should be running LR 2015.5.1, not LR 5.7.1.
if you don't have LR CC then LR 5.7.1 is not new enough to support the T6i.