AN ACR MLG OVERTEMPED BOTH ENGS ON TKOF.

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ON DEP FROM FLL; BOTH ACFT ENGS APPEARED TO MOMENTARILY OVERTEMP. APPLICABLE COMPANY ABNORMALS WERE COMPLIED WITH AND ENGS STABILIZED. COMPANY WAS NOTIFIED VIA ACARS SO MAINT COULD BE AVAIL AT DEST OF LGA. ABOUT SAV; COMPANY SENT ACARS MESSAGE TO DIVERT TO CLT. AFTER TRYING TO CONFIRM WITH COMPANY'S REQUEST; WE NOTIFIED ZJX OF THE DESIRE TO PROCEED TO CLT. FURTHER CONTACT WAS ESTABLISHED WITH COMPANY ON PHONE PATCH VIA ARINC. MAINT ASKED QUESTIONS AND IT WAS THOUGHT FIRST RPT TO COMPANY COULD HAVE BEEN IN ERROR. CAPT ASKED MAINT TO RELAY THAT WE WERE CONTINUING ONTO SCHEDULED DEST. RERTE WAS AGAIN GIVEN BY CTR WITH CLB TO FL370. APPROX 50 MI S FAK VOR; 170 NE CLT; ACARS MESSAGE AND ATC MESSAGE TO CALL COMPANY WERE RECEIVED AT SAME TIME. CAPT SPOKE TO COMPANY AND WAS ADVISED THAT THEIR AUTOMATED READINGS WERE IN FACT AGREEING TO OUR FIRST QUESTIONS AND INDICATIONS. IT WAS DECIDED AS A PRECAUTIONARY MEASURE TO DIVERT TO CLT; NC; WHERE LNDG WAS MADE UNEVENTFULLY. ALL FAA INSTRUCTION AND COMPANY POLICIES AND PROCS WERE ADHERED TO IN THE PRESCRIBED MANNER AS TO INSURE THE SAFETY OF THE FLT.