You don't give details of the trike, especially the electrics. If it has a proprietary system (Bosch, Shimano, etc) you need a matching battery. If it has a more generic system then many batteries may do. There is still the battery mounting and connection to consider. For example popular Hailong batteries come as frame fit or rack fit, and have 3 or 4 different connection styles (number of pins, whether round or flat).
I suggest you post some pictures of the bike, especially the current battery and battery holder, showing the connections.
Also whether you want a battery that will just fit, or if you are happy to swap around the mount as well as the battery.