With the introduction of the NG Boeing removed the references from the Limitations section in the FCOM and used Red Line as a limit, the display telling you when you had an overtemp situation.
Prior versions of 737 had the temperature limitations mentioned in the FCOM (their engine instruments were a lot smaller and thus harder to read, their numeric display was easiest to read).
Engine limitations are still contained in the Limitations section of AFM though, even though Red Line limits were introduced. It is one of the few limitations not contained in FCOM for crew reference.
NG: 725/925/950
CL: 725/895/930
[Maximum temperatures for: start/continuous/takeoff]