If you need Event Sourcing, you should store events only.
This should be the sequence:
- the aggregate root recieves a command
- it fires proper events
- events are stored
Each aggregate's re-hydratation should be done only by executing events over them. You can create aggregates' snapshots if you measure performance problems on their initialization, but this doesn't require two-phase commits, since you can build snapshots asynchronously via batch.
Note however that you need CQRS and/or Event Sourcing only if your application is heavily concurrent and you need to cope with partition tolerance and compensating actions.
edit
Event Sourcing is alternative to the persistence of object state. You either store the events or the state of the object model. You can save snapshot, but they're just performance tools: your application must be able to work without them. You can consider such snapshots as a caching technique. As an alternative you can persist object state (the classical model), but in that case you don't need to store events.
In my own DDD application, I use observable entities to decouple (via direct events' subscription from the repository) aggregates and their persistence. For example your repository can subscribe each domain events, and execute the actions required by the application (persist to the store, dispatch to a queue and so on...). But as a persistence technique, Event Sourcing is alternative to classical persistence of the observable object state. In most scenarios you don't need both.
edit 2 A final note: if you choose ES, one of the events subscriber can build a relational read-model too.