I've only used the Eenies and the bio-liners - both are flushable.
The eenies are very large but also quite thin. So if you were having trouble with sticky poos, then I would use a double layer of eenies so you can peel off the liners by holding the top bits (the bit with no poo, obviously) and flush the whole thing down the loo.
The bio-liners are smaller but thicker. They are great for catching sticky poos and easy to take off (just shake really) BUT not good for the big sticky poo-er.