Where do you expect LYFT"s EIN to show up on YOUR tax return .... that is NOT your EIN and unless you got an EIN for your business then you will not have an EIN on your Sch C.
Entering in the 1099 from LYFT goes nowhere on the return ... only the total income is reported on the Sch C. In fact you don't even need to enter in the 1099 ... all that is required to be reported is your total business income on the Sch C ... entering in the 1099 in the TT program is for YOUR use only.