Gary,
to put it short Swedes didn't take part in any more or less significant action neither in 1813 nor in 1814. They stood away from any actions in both Grossbeeren and Dennewitz and arrived too late to take any part at Leipzig. Later on they, if memory helps, were employed to blokade Davout in Hamburg.
This lack of activity was not their fault. Not all of it at least. Excellent Russian corps also didn't have a chance to distinguish itself. But for one episode which is worth a special thread. The point of fact is that in late august-early september the weather in Germany was bad. To simply say bad is to say nothing actually. The rains were so strong that sometimes a main in grey greatcoat on a grey horse was completely invisibly at a distance of several hundred meters. Naturally any movement in these endless oceans of mud was ...how to put it... hindered

. In this situation lack of initiative and timidity of Bernadotte played into allies favour. Mind the state Blucher had brought his army of Silesia with all of his marches and countermarches. It was saved from a disaster only by even more monstrous mistakes on the French side.
Back to swedes, would they have to fight or not depended very much not on them. It depended on what road will the French commander choose. Both times they chose the road that left swedes out of battle.
In terms of wargaming the best you can hope for are what-if scenarios. Most importantly two huge campaigns of actions at August an September on a large Berlin map. Although they are called historical it's clear that course and outcomes of the campaign will be different. Plus alternative versions of both Dennewitz and Grossbeeren. I'm not sure if there is a version where they are not fixed during the whole course of battle. It's essential, because otherwise I can not imagine what can make French commander attack the Swedes.Plus there were several "very much alternative" scenarios that include Swedish forces.
As part of H&R we are planning to replay Grosbeeren campaign on a tremendous scale in a very specific and interesting setting. I once or twice mentioned it here. It's somewhat delayed one more time due to my real life constrains. Right now we are playtesting the setting. We are planning to release several "etudes" that will allow future players to get acquainted with the oobs, pdts etc. This will naturally include one or several ones with swedes. Stay tuned!
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Leib-Guard Cuirassiers Regiment's
General-Fieldmareshal Count Anton Kosyanenko
Commanding Astrakhan grenadiers regiment
2nd Grenadiers Division, Russian Contingent