You can bake object transformation into keyframes using `Set Keyframes` node. It should work.

If you don't want to bake animation then try this method:

**Step 1**: Create empty objects using `Object Instancer` and do whatever animations you want to those empty objects.

**Step 2**: Create instances of actual object having particles using `Object Instancer`. Then unlink it from node. You can do that by pressing `Unlink Instances From Node`. which can be found on advanced settings of `Object Instancer` node. Then move those objects into another collection.
[![enter image description here][1]][1]

**Step 3**. Get objects from collection using `Collection Info` node. Then set empties as parent for these objects using `Attribute Output` node.
[![enter image description here][2]][2]


  [1]: https://i.sstatic.net/pNzJv.png
  [2]: https://i.sstatic.net/bqyep.png