A battery place told me the 2cr5 lithium would work in by new ST-E2 speedlite transmitter. But he said the rechargeable 2cr5 would not work. Do you know anything about rechargeable batteries not working in the Canon eos cams and transmitters?
No, and I have no opinion on whether the particular assertion you report is true or not. But it's a fact that rechargeable and non-rechargeable batteries generally work on different chemistry, resulting in slightly different voltages being produced. So it's not inconceivable that one type of battery would work in a given device, while the other one wouldn't.