Wiktionary
throw a bone to
vb. (context idiomatic English) To provide support or assistance to, especially in one particular way or to a limited extent; to make a concession to.
Usage examples of "throw a bone to".
It gave Jaime command of the Kingsguard and a seat on the small council, and allowed Joff to throw a bone to his dog.
Nate looked around the room, hoping that one of the other behavior researchers might jump in, help him out, throw a bone to the podium, but apparently they were all finding the displays on the bulletin boards, the ceiling fans, or the wooden floor planks irresistibly interesting.