1/ Electrum-LTC synced properly, green dot in the bottom, block number 1344407.
Payment is in blockchain on correct address: http://explorer.litecoin.net/address/La8kyDYaSgFpfMENg3PPt56e93LhVuPkYb
Same address in Electrum-LTC: https://imgur.com/a/XJdHm
Finally, are you sure you transferred to the correct address and correct wallet? Was it an "L" or "M" address? or was is a "3" address?
I notice that you use old Electrum LTC version 2.6.4.2 and latest is 2.9.3.1 : https://electrum-ltc.org/ so problem is probably in outdated version of wallet or in server you are connected.It would be wisely that you upgrade to latest version(backup wallet data/seed before that) and see if this solve problem.Since your transaction have 200+ confirmations problem is on your side.
You can try to click on green dot and uncheck automatic connect to server,and choose a server manually from the list-but better is to upgrade to latest version.