No
They can't give you back the LP for that game.
As for an explanation, that was part of the remake system. Since you didn't connect to the game at all (at least that's the way I'm reading it) your team had an option to remake. Thus technically pretending the match never happened. However since you were the cause of this you lost LP, while I think...stress that heavily, think your team either didn't lose LP or didn't lose as much LP.
This has been part of the system for some time. And is unlikely to change anytime soon, barring a glaring need for it due to issues within the community.
Your best bet right now is grin and bare it. Something happened outside of your control, causing your game to crash and repair itself.