From the guide in wowhead (https://www.wowhead.com/broken-isles-pathfinder-flying-guide) lists these to speed the process up;
Tips for speeding up reputation:
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[WHEE!]: Darkmoon Faire buff-ride the carousel for a minute and you’ll get reputation gains increased by 10% for an hour.
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[Darkmoon Top Hat]: 10% reputation gain for 1 hour, obtained during the Darkmoon Faire for 10 darkmoon prize tickets.
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[Diplomacy]: 10 % reputation gain, human racial.
Emissary of course gives a chunk of reputation once completed.
Go around and grab those treasure chests, they at least used to have a chance to drop some reputation tokens and have a achievement for every zone as well.
Also there are Order Hall missions for the factions so keep an eye on those.
Check the comments here too;