LINE lite app - "All account information has been deleted as this account has been registered with the same phone number on another device"
Line lite app is associated with Android ID on your device.
In case you want to back up the line lite app and its data, also you will have to get the android ID from original phone.


Get the Android ID on ADB console with root account by typing the following command.
In this case, the "aabbccddeeff" is the Android ID of original phone.

# settings get secure android_id
aabbddcceeff

Backup all the data of line-lite (such as with the Titanium backup app + data and /sdcard/Android/data/com.linecorp.linelite directory) into your PC.
Modify the Android ID of target phone to original one.


How to change the android ID of target phone is as follows:


login the shell console with root account by ADB on target phone;
type the following command with Android ID that you get from original phone (for example aabbccddeeff);

# settings put secure android_id aabbccddeeff

reboot the target phone;
move all of the backed up data from your PC to the target phone ;
on the target phone, restore the line-line app + data by using Titanium backup app and /sdcard/Android/data/com.linecorp.linelite directory;
launch the Line Lite app on your target phone.


Now, you will see the chat history with line lite app on your target phone.

I think the  points are:


same Android ID is required both original phone and target phone
App+Data of line lite app by Titanium backup 
/sdcard/Android/data/com.linecorp.linelite directory


I hope you will succeed in the backup and restore the all data (including chat history) of line lite.