If you are potting with "very good" food and babysitting from an AST, you can probably parse for 1300+ these days. The top fflogs parses are ~2+ weeks old (though they do have stacked comps) and most people stopped caring about and doing Sephirot EX. My parse of 1143.5 from a week+ ago from a partial PF group hit that in a 9 minute kill with no potting, no food, no AST, and no on-demand pacification removal (the SCH might've removed it once).
To answer the actual question with more than a pat on the back, the biggest determining factor for WAR DPS comes down to 4 things. When I compare parses these are the key things that I look at when trying to improve.
The first and biggest influence on WAR DPS is Deliverance up-time. The numbers in question are an MT parse so your Deliverance up-time is probably lower.
The second is general up-time. Lost GCDs are a big hit to your DPS so your goal is to maximize up-time. Up-time optimization is fight specific -- in a fight like Sephirot, there is some nuance to this like lost GCDs during p1 movement for re-positioning and green / purple, Holmgang usage, timing pacification to correspond with orange if you are not using green stacking for melee, add management, etc. Look at a top parse and compare their aDPS up-time to yours.
The third is your stack management. Find a comparable clear-time parse with better DPS and look at how many FC / IB / Decimate / Steel Cyclone uses they are getting. If you are lower, chances are you are holding stacks or messing something else up.
The fourth is your buff management. The biggest contributing aspect of buff management is your Berserk up-time. For Sephirot EX, you can use 2 full 9GCD Berserks every p3 cycle on the same rotation but most WARs mess this up. When judging a fight, pay attention to the duration of phases, the timing of down-time and maximize your Berserk uses. There are some exceptions to this like Hummel (where there is an actual downside to getting 2 Berserks vs. 1) but generally you want to keep Berserk as close to off CD as possible while not sacrificing its up-time or buff synergy (using it on 4-5 stacks with Infuriate or syncing with buffs like Balance, IR, TA, BL, etc.).

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