I believe SR5, LE, and TE mats are all the same fit, however, 2010, 2011, 2012 4R's have different fasteners to keep them in place vs. the 2013's.
I'd make sure the mats they give you are for 2013, I'd suspect that's the problem.
If you are looking at the Toyota all weather mats I'd suggest you look at WeatherTech instead.