So, the licenses are available. Please Check for the toolboxes of Topographic Production tools and Defense tools.
Note: Some tools (Topographic Production) require additional extension like Spatial Analyst or Workflow Manager. Topographic Production toolbox licensing
Additionally, you may download and install the Product Data files from My Esri.
You may also see some additional tools (other than the geoprocessing tools) like Replace Color.
You may follow the ArcGIS Pro Online documentation for more details.
I am glad to be able to help you with your query.
We, here on the Esri Community, respond to queries to the best to our knowledge. Also if you have any specific issue, remember to ask a new question, so that it will have better visibility (not only by the Esri users, but also the Esri staff as well).
You can also reach out to Esri Technical Support, as well.
Did you see the topics in the Help files to get you going?
I assume you don't see the licenses under Esri Extensions in ArcGIS Pro (Licensed: No).
If your licenses are Concurrent Use type, please ensure that you have authorized Defense Mapping and Production Mapping for ArcGIS Pro (not the ones for ArcGIS Desktop - ArcMap). Even though you choose ArcGIS Pro while authorizing, if the license keycodes are that of ArcGIS Desktop (ArcMap), the latter will get activated.
If you have difficulty finding the corresponding keycodes for ArcGIS Pro, please contact Esri Technical Support.
Did you log a case with Esri Technical Support? They can check if the correct license keycodes have been used for authorization. This seems to be the only way to go forward.
*I strongly feel that the keycodes you used for authorization are for the equivalent extensions of ArcGIS Desktop (ArcMap).
Once the correct license keycodes (For ArcGIS Pro) are authorized, restart ArcGIS Pro (if required) and you should be able to use see the Extension License status as "Yes", and use the relevant tools.
Could you share a screenshot of your License Manager (Availability) like the one below (showing the Defense Mapping and Production Mapping licenses)?
Also share the license status page from ArcGIS Pro as well.
This will give a bit more clarity.
It would help if you could at-least share the screenshot of Licensing page of ArcGIS Pro (Project > Licensing).
No separate installation required for the desired extensions in ArcGIS Pro (Only authorization of license is required).