With this guide you can either farm standing during night time or day time, for both I recommend Sleep Equinox if you don't have Equinox, max duration Loki will do.
My Equinox build
My Loki build
If you have Equinox nothing else is required but if you don't you'll have to grab aTranq rifle from Business in Fortuna for 500 standings

Plains Kuaka
Provide 400 standings per perfect capture, brown floof.
Ashen Kuaka
Provide 600 standings per perfect capture, pink floof.
Ghost Kuaka
Provide 1200 standings per perfect capture, white floof.
Common Condroc
Provide 800 standings per perfect capture, brown floof.
Rogue Condroc
Provide 1200 standings per perfect capture, black floof.
Emperor Condroc
Provide 1800 standings per perfect capture, white floof.
Ostia Vasca Kavat
Provide 500 standings per perfect capture, black floof.
Bau Vasca Kavat
Provide 1000 standings per perfect capture, green floof.
Nephil Vasca Kavat
Provide 1500 standings per perfect capture, red floof.

1. As soon as you enter PoE take out your Tranq Rifle and hold down right click
   
2. If you hear a beeping sound look around, wild animals will be highlighted
   
3. Cast your Sleep(2) on them, if you don't have Equinox use your Tranq rifle one shot will be enough (ONCE YOU HIT 1 WITH TRANQ DART, THE OTHER WILL RUN AWAY SO POSITION YOURSELF TO SHOOT ALL 3 IN QUICK SUCCESSION)
   
4. Continue to move around the Plain pressing right click occasionally to check for the beeping sound
   
5. Rinse and repeat

21k standings in 7 mins

• Capturing a animals without being noticed by them will make significantly more standings, for that reason staying an appropriate distance away
  
• Animals usually spawn in groups of 3 if you find 1 chances are its friends are nearby
  
• AOE weapons might accidentally killed an unconscious animal when you try to remove nearby hostile, therefore a weapon with decent precision is highly recommended.
  
• Condrocs will fly away if 1 one them is hit with a Tranq shot, so stay close enough and make sure all 3 shots of the magazine land on their targets

• Unlike fishing you don't need to turn in anything, the moment you capture an animal, standings will be given. Aside from standings you will also get tags which can be traded with Master Teasonai for floofs (stuffed animals) which can be displayed in your Orbiter.
  
• You don't need neither Baits, lures or any kind of fancy spear, for that reason this method will save you standings.
  
• Master Teasonai will constantly pester you so better mute him, he also occasionally talk ♥♥♥♥ bout ma boi Biz, overall he is an ass.

• It's boring staying in one spot waiting for fishes to appear, when they do hitting the small ones are a real pain in the arse
  
• You have to give up your fishes for standing, that mean no orbiter decoration, like what the heck ??
  
• Space Doggy will be more happy with floofs
  

Therefore IMO hunting is a better method of farming standings compare to everything else

Thanks for checking out my guides if you have any questions or additional information just put it in the comments and I'll answer as soon as i can