You probably want to reach out to the vendor and ask for managed distribution instructions. No business grade application worth having does not have managed distribution instructions this day in age.

Taking the vendors instructions literally for a clean install.

1. You will want to put their package, and .plist file in a temp directory (something like /private/tmp/nonsense_here).


2. Then use Jamf Composer to package this directory.


3. In Jamf Composer, put a post install script on the packge you are making to run the vendors package (sudo installer -pkg /path/to/package.pkg -target /).


4. Upload the Jamf Composer created package to Jamf Pro, add the package to a policy and deploy.

This will cache the vendor package, and plist to the same working directory as their instructions tell you to do. Then the terminal command in the Jamf Composer package will run the vendors package with admin permissions, again as the vendor says to do. You may need to tinker a bit to get a good work flow, but this should be the nuts and bolts of automating what you are doing manually. 

Note: If you use /private/tmp macOS will automatically delete the files when the device reboots. If you place them somewhere else, you will need a script to come behind and delete the files.

googlefu provides some info for intune..  basically take the serverinfo.plist rename it, make it a config profile and deploy, then the deploy the pkg in a policy.... https://www.manageengine.com/products/desktop-central/how-to/agent-installation-with-intune.html 

really the vendor should provide a bit more assistance.. 

How to deploy a Mac agent using Jamf ?

Description

Install Mac agents using Jamf

Steps

To successfully install a Mac agent using Jamf, follow the steps given below:

Prerequisites

• Login to the Endpoint Central web console and navigate to Agent --> Computers --> Download Agent.


• Choose the appropriate remote office and select the operating system as Mac.


• Navigate to the folder where the agent is downloaded. Extract the zip file and locate UEMS_MacAgent.pkg and serverinfo.plist file.


• Rename serverinfo.plist to com.manageengine.ems.plist.

Steps to deploy com.manageengine.ems.plist:

1. In the Jamf console, Select Computers --> Configuration profiles --> New


2. Select Application and Custom Settings and click Configure.


3. Click Upload file.


4. Enter the preference domain as com.manageengine.ems.


5. Click Upload Plist file and then choose com.manageengine.ems.plist.


6. Click the Scope tab and then modify the scope of the configuration profile.


7. Click Save.

com.manageengine.ems.plist will be deployed to /Library/Managed Preferences/ folder in the mac machine. It can be verified there.

Steps to deploy UEMS_MacAgent.pkg:

1. In the Jamf Console, Select Computers > Policies > New.


2. Use the General payload to configure basic settings for the policy, including the trigger and execution frequency.


3. Select the Packages payload and click Configure.


4. Click Add to add the package you want to install.


5. Configure the settings for the package.


6. Click the Scope tab and configure the scope of the policy.


7. Click Save.

The pkg will find the preference plist deployed before and will install successfully.