Followers Teleport Too (Legacy Fabric) - Pet Teleportation
This mod makes rescuing your wolves and cats from difficult situations much easier. In the standard version of Minecraft, when a character teleports, pets remain in place, but with this addon you can easily take your faithful companions with you back to base.
The mod automatically checks for non-sitting pets around the player before teleportation. If any are found, they are instantly moved to the player's exact destination.
Configuration Settings
disableFollowerDamageAfterTeleport (default = true): When this option is enabled, pets receive protection from damage for a short time after teleportation. This prevents possible fall damage or suffocation from inaccurate target position determination.
durationInSecondsDamageShouldBeDisabled (default = 20, minimum 0, maximum 86400): Determines the duration of damage protection in seconds after teleportation when the disableFollowerDamageAfterTeleport option is activated.
Work Demonstration

Now you won't have to leave your faithful friends behind anymore!
Requirements
For the mod to work, the Collective (Fabric) library and Fabric API are required. Please note that this is the version for Fabric 1.16 - new files and updates have been moved to the main project page.
This mod can be freely used in any modpacks provided that the download remains within the CurseForge ecosystem.