Diplomatic recognition is basically when two countries become "friends." Just like how you make friends at school, countries can also become friends with each other. Diplomatic recognition means that one country officially acknowledges the other country's existence and government.
Imagine there are two animal kingdoms living in the forest. One day, the lion kingdom decides to officially talk to the tiger kingdom and says, "Hey, we know you exist, and we want to be friends." The tiger kingdom then responds, "Yes, we know you exist too, and we also want to be friends." So now, the lion kingdom and the tiger kingdom can start to work together and talk to each other about things that are important to both of them.
Similarly, when two countries decide to be friends, they can start to have a formal relationship. This includes having ambassadors (kind of like representatives) from each country visit the other country and talk to their officials about things that are important to their own country. They can also start to trade with each other, help each other in times of need, and work together to solve problems that affect both countries.
Diplomatic recognition is important because it shows that two countries are willing to work together and be friendly towards each other. This can lead to many benefits, like better trade deals, more peaceful relationships, and more collaboration on important global issues.