Recovering Bitcoin / Litcoin wallet with partial PyWallet recovery
The file recovered_wallet_NNN.dat should be a standard Litecoin wallet file containing those (possible) private keys that pywallet found.  Install litecoin-qt if you haven't already, back up your existing wallet.dat if any, and copy recovered_wallet_NNN.dat in its place.  Then run litecoin-qt -rescan (this may take a long time to start up as it rescans the entire block chain).  

If the data found by pywallet included your old private keys, litecoin-qt will have access to them and will show you your balance.  You can then send your coins to a new address or whatever you like.

It's also entirely possible that the data found by pywallet looks like private keys but is actually something else.  They will still work as private keys (since a private key can be any 256-bit integer) but they will correspond to addresses that don't contain any coins.  In that case, litecoin-qt will show you a zero balance, and you are out of luck.

The file pywallet_partial_recovery_NNN.dat appears to be used by pywallet to save its progress in case you abort the recovery process.  Since in your case it finished correctly, you don't need this file for anything.