Well I did some Google'n and found a couple different hits that help a tad, well not really but it does get us at least some understanding. lol
TPE = Thermoplastic elastomer
TPR = Thermoplastic rubber
From this
link
"Even though the terms TPE (thermoplastic elastomer), TPR (thermoplastic rubber), TPO (thermoplastic polyolefin) and elastomer get used interchangeably, they actually have different meanings (at least some of them do).
TPE, TPR and elastomer mean exactly the same thing. They refer to a group of plastic materials that are “elastomeric” or flexible and soft. This is a very broad classification of materials."
And from this
one (question type forum)
"ThermoPlastic Rubber (TPR) is best described a material which has both the characteristics of rubber and plastic. Typical applications are the hard rubber/plastic soles on many shoes or the the rubber/plastic material used on hane tool grips.
ThermoPlastic Elastomer (TPE) are a softer version of TPR. TPEs permit fabrication of "rubber-like" articles with the speed, efficiency, and economy of injection molding, extrusion, or blow molding."
From what I gather they are very similar, but TPE is softer to start with and can be made softer with heat. TPR can also be made softer, just not as much.
Sorry, it probably does not help a whole lot. lol