Birds is not replicated for multiplayer out of the box, and I’m not experienced with multiplayer but hopefully this information is helpful.
When a Bird is flying toward a perch there is a service in the Behavior tree called “BTService_Bird_PerchWhenCloseTo_PerchTarget” this service checks the distance to the Perch. When the distance is less than 600 Unreal Units- the Blackboard value “FlyToPerch?” is set to true. This is when the landing animation plays.
Then in the task “BTTask_Bird_PerchOnPerchTarget” the Bird is moved from it’s curent location while playing the landing animation to the location of the Perch. once the Bird is on the perch location the Blackboard value “PlayPerchedIdle?” is set to true. this is where the Perch animations are played. I hope this was helpful or at least helps illustrate where to look for the perching setup. Let me know if you have any further followup questions.