Fix more issues with asyncio and timeouts [#962].

(cherry picked from commit 76eb9e8)

dns/_asyncio_backend.py

@@ -37,7 +37,14 @@ def error_received(self, exc):  # pragma: no cover
 
     def connection_lost(self, exc):
         if self.recvfrom and not self.recvfrom.done():
-            self.recvfrom.set_exception(exc)
+            if exc is None:
+                # EOF we triggered.  Is there a better way to do this?
+                try:
+                    raise EOFError
+                except EOFError as e:
+                    self.recvfrom.set_exception(e)
+            else:
+                self.recvfrom.set_exception(exc)
 
     def close(self):
         self.transport.close()

dns/quic/_asyncio.py

@@ -188,6 +188,7 @@ async def close(self):
             self._connection.close()
             # sender might be blocked on this, so set it
             self._socket_created.set()
+            await self._socket.close()
             async with self._wake_timer:
                 self._wake_timer.notify_all()
             try: