Air Carrier Flight Crew flying 757 aircraft reported EGT and Fuel Flow issues with engine during climb.

Narrative

System malfunction within the right engine.During initial climb at approximately 15;000 ft.; we noted that the right engine EGT and fuel flow were abnormally high. EGT was in the caution range at about 803 and fuel flow was displaying about 3;000 pph more than the left engine. The Captain/Pilot Flying retarded the right engine thrust lever until EGT was within limits; and then we elected to level off at FL230 during troubleshooting and advised both ATC and Dispatch of the situation. We referenced the QRH and elected to execute the procedure for Engine Indication Fluctuations (RR). This procedure resulted in us disengaging the autothrottles and turning the right electronic engine control off. After the QRH procedure was complete and the engine was stabilized; we discussed the advisability of continuing to our planned destination of ZZZ1 with unknown engine issues and decided it was more prudent to divert to ZZZ; which was just ahead and directly along our route of flight. We advised ATC and Dispatch of our intentions; chose not to [request priority]; and conducted an uneventful landing on Runway XXL at ZZZ. During subsequent debrief; we concluded in retrospect that the Engine Limit or Surge or Stall checklist would have been a more accurate choice for the malfunction that we encountered. However; we still accomplished the key steps of the procedure by disengaging the autothrottles and manually adjusting the thrust until it was within limits. Either way; the decision would have remained to continue or divert; and both the Captain and I felt that flying past ZZZ with an engine malfunction would have been an unwise choice.