Can Large Bitcoin Collider break into the wallet which is created by new version of Electrum? I have heard that Large Bitcoin Collider can only break into wallets that are created by broken software. 
My other question is that it seems the last private key that they found was on 2017-11-15 01:25:58 UTC. Am I right? Does it mean that their project is not successful any more?
LBC exhaustively searches a relatively small area in the 256 bit private key space. It's not a general wallet cracker, broken or otherwise; rather, it will find a private key that is known to be in the vicinity of its searches. One example that sits in the blockchain is the so-called puzzle transaction, which was created to deliberately reward people who manage to crack successively more "difficult" keys. It may also discover some keys which were created in error - say, by a program (over)writing 32 random bits in the same memory location 8 times, instead of writing 32 random bits into 8 sequential locations - but it's not a general purpose wallet cracker.

I'm unsure if LBC is still in operation, but there have been subsequent keys in the puzzle transaction cracked, the most recent one (as I type this) in March 2019: https://www.blockchain.com/btc/tx/08389f34c98c606322740c0be6a7125d9860bb8d5cb182c02f98461e5fa6cd15

You can read more about the puzzle transaction here, including posts by the person that created it: https://bitcointalk.org/index.php?topic=1306983.0