There is a Sell tab on tavernkeeps where you can place food and drink items, as well as the buyout offer. Customers who select that tavernkeeper at that location can see the various player-crafted food items for sale.
The item limit for Taverns is shared with the Auction Hall limit.
Items do time-out and players will have to post them again. Length of time is determined by the location. Some have a longer hold time than others.
An icon will appear above the tavernkeeper's head or on the outside of the building if there are player goods for sale inside.