We have been struggling with table manners ever since DD2 (13 m.o) began solid foods at 6 months. She will eat but also likes to throw food on the floor. DD2 learned to blow raspberries a few months back and ends up spewing food in the process.
Sounds pretty average to me for that age. She certainly isn't going to make the correlation between her perfectly normal 13 month behavior and going to bed hungry.
Strategy: Give her a few bites of food on her tray at a time, and remind her to eat nicely. With both of my kids at this age I was still feeding them sometimes while they played with whatever was on their tray.