2 fleishig spoons were washed in a sink with milchig dishes. How do I make my kitchen kosher again?
If there was no actual meat or milk on the dishes, everything is fine. Even if there was milk or meat on the dishes/spoons, but the water you used was not hot, everything is fine. If the water you used was hot to a level of discomfort (yad soledes bo), and the dishes/spoons were dirty so that you think hot meat touched the spoons/hot milk touched the dishes, the specific spoons/dishes would require kashering.