I have no idea if this was done improperly or if this is just how it's normally done...
The plumbing for this sink has been this way since I got the house and I've never noticed any problems, maybe it leaked a little but I doubt it. Recently it pretty much flooded the cabinets when we emptied a blender's worth of water down that side of the sink.
<< it's the right side sink that's at issue here! >>
You can see in the picture that the way it was setup was basically wedged into place, I mean there's no visible adhesives, no clamps, no threading, nothing, it just seems to dangle there!!! If you wedge the drain piping up onto the sink's outlet/drain spot, it will stay in place for a bit (see picture #2), but it will fall back down within a day (picture #3) and, if there's a decent amount of water going down that sink's drain, it'll overflow!
I have no idea what to do with this, as there's no threading on the sink's drain outlet piece, the piping is too rigid to clamp it'd seem, and I don't think plumber's putty is gonna help me here

. Any tips on what I need to get/do to fix this would be greatly appreciated, I keep forgetting not to dump lots of water down that side of the sink

!!!!!
Pic#1: sink's drain setup
Pic#2: Me holding it up, 'wedged' in place as it had been for a while
Pic#3: when it really falls down and gets messy!