I don't even see how it is a comparison but that is just me. From my understanding dogecoin has been falling in value and litecoin is currently on the rise. I don't think dogecoin will be around longterm but I believe Litecoin has a long future ahead. I'm interested to see what others think.
Litecoin reached almost 0.05 ltc/btc back in November, since then it's been falling, and is now half that price.
Dogecoin reached 0.00000280 doge/btc a month ago, since then it's been falling and is now half that price.
Both have had their moments of dead-cat bounces recently.
Dogecoin just does everything faster than Litecoin, rising, falling, building websites
But the race is still on. I believe it will be clear in a few months who wins. But right now, both have fallen about the same percentage-wise from their peak values, so it's an interesting battle to observe. Only one of them can survive when dust settles