Jader7777 wrote:
If you're riding the mount and you have the feat as the rider then your mount inherits the feat for the purposes of using the maneuver. This is the same for other mounted feats such as "Ride by attack" and "Spirited Charge". Only the rider needs the feat to make use of it.
this is not true, your mount does not inherits the riders feat. a mount does not get to preform ride by attack, just because you have it, or spirited charge. only you can preform those feats, both of them require you to direct amount to preform a specific kind of action. For spirited charge, you must direct the mount to charge, per the FAQ this mean both use and the mount are considers charging. thus you get increased damage on your attack, the mount does not get increased damage on their attacks.
For ride by attack you must direct the mount to charge, and what this allows you to do is attack in the middle of the charge, instead of at the end of the charge. It also allows you to attack someone other then the target of charge and actual charge mounted with a reach weapon The mount how ever is now allowed to finish it's charge and attack the target original target of the charge. By raw this is messy and not possible unless mount as = reach as rider. There is a paradox written into the charge rules that the devs are aware of and just never fixed yet in core rules. This same paradox also effects over-run combat maneuver. It is fixed in unchained action economy thou. Because charge in those rules is not an type of attack nor does it require you to attack. It is a type of movement. This is why most people on these boards say ask you GM or say don't even bother with these options come up.
You maybe you are thinking of the Hunter or Cavalier', their sharing team work feats.
Hunter "At 3rd level, the hunter automatically grants her teamwork feats to her animal companion. The companion doesn't need to meet the prerequisites of these teamwork feats."
Cavalier "At 1st level, a cavalier receives a teamwork feat as a bonus feat. He must meet the prerequisites for this feat. As a standard action, the cavalier can grant this feat to all allies within 30 feet who can see and hear him. Allies retain the use of this bonus feat for 3 rounds plus 1 round for every two levels the cavalier possesses. Allies do not need to meet the prerequisites of these bonus feats. The cavalier can use this ability once per day at 1st level, plus one additional time per day at 5th level and for every 5 levels thereafter. " in this case the mount is an Ally of the Cavalier thus gain the benefit of his team work feats. but it is
not automatic like the hunter.
for the OP case, if you raise the int of mount to 3 or more then yes it can take the greater bull rush. I believe that is the only way unless there is archetype as bishop083 said that grants it on the list of options.
