LÖVE

I need function in love2d for starting game as service in background and alerts messagess support for making chat how in android studio. Please very need this funtions

Without taking a look at the specifics: I think you have to copy love-android and add the Android Service code yourself. If you want to use features of Android services from within your lua files, then you need to add those to the love sourcecode as well, I guess.

I don't think that's possible with basic love2d alone, as Xugro alluded to. You're talking about some very Android-specific features beyond what love currently handles AFAIK.