Reorganization of ruling authorities for 2 kingdoms

Indo-Greek Kingdom

Kings of Baktria

These seem to be the same dynasty at different times of the indo greek kingdom also reflected in the similarity of their coins also seen on 

https://coinindia.com/index-greek.html 

the ruling authorities shall be changed accordingly

This is certainly not the case. The Kingdom of Baktria or the Greco-Baktrian Kingdom began when Diodotus I, the Seleucid Satrap of Baktria, declared independence and founded his kingdom centered around modern day Afghanistan. While the Indo-Greek Kingdom was likely originally founded by Greco-Baktrian rulers, the two states were clearly separate entities which occupied very different geographical territories. Their style of coinage differed tremendously (The extensive use of Kharosthi on Indo-Greek coins and the complete lack of Kharosthi on Greco-Baktrains types for example), and find-spots for coins indicate that these two kingdoms were not synonymous. 

Numista currently has significant problems with the "Kings of Baktria" and the "Indo-Greek Kingdom" issuers, as many coins from the Indo-Greeks are erroneously classified as Baktrian. The solution to this however is not combining two distinct issuers, but to fix the coins and ruling authorities from their incorrect locations. 

In order to possibly help this transition, here are the accepted rulers for both the Greco-Baktrian Kingdom and the Indo-Greek Kingdom. 

Greco-Baktrian Kingdom:
Diodotos I (c. 255-235 BC)

Diodotos II (c. 246-235 BC)

Euthydemos I (c. 230-200 BC)

Demetrios I (c. 200-185 BC)

Pantaleon (c. 185-180 BC)

Euthydemos II (c. 185-180 BC)

Agathocles (c. 185-170 BC)

Antimachos I (c. 175-165 BC)

Apollodotos I (c. 175-165 BC)

Demetrios II (c. 175 BC)

Eukratides I (c. 175-145 BC)

Eukratides II (c. 145-140 BC)

Plato (c. 145-140 BC)

Heliocles I (c. 145-130 BC)

Indo-Greek Kingdom:

Pantaleon (c. 185-180 BC)

Agathocles (c. 185-170 BC)

Antimachos II (c. 160-155 BC)

Eukratides I (c. 175-145 BC)

Apollodotos I (c. 175-165 BC)

Menander I (c. 165-135 BC)

Strato I (c. 130-110 BC)

Zoilos I (c. 130-120 BC)

Lysias (c. 120-110 BC)

Antialkidas (c. 115-95 BC)

Heliocles II (c. 110-100 BC)

Polyxenos (c. 100 BC)

Demetrios III Aniketos (c. 100 BC)

Philoxenos (c. 100-95 BC)

Diomedes (c. 95-90 BC)

Amyntas (c. 95-90 BC)

Epander (c. 95-90 BC)

Theophilos (c. 90 BC)

Peucoloas (c. 90 BC)

Nicias (c. 90-85 BC)

Menander II Dikaios (c. 90-85 BC)

Artemidoros (c. 85 BC)

Archebios (c. 90-80 BC)

Hermaeus (c. 90-70 BC)

Telephos (c. 80-75 BC)

Apollodotos II (c. 80-60 BC)

Hippostratos (c. 65-55 BC)

Dionysios (c. 65-55 BC)

Zoilos II (c. 55-35 BC)

Apollophanes (c. 35-25 BC)

Strato II (c. 25 BC - 10 AD)

(These dates are mostly speculative, as much more research needs to be done on both kingdoms)

As you can see, while they share some overlap in rulers near the beginning of the Indo-Greek Kingdom's founding, by around Menander's time it is clear the two kingdoms have fully separated to become two independent entities. Within the Numista catalog, this is comparable to Mithridates VI of Pontos. While he was the ruler of the Kingdom of Pontos, his conquests led to him ruling many more kingdoms and cities. In Numista however, we would not argue to combine Paphlagonia or the Bosporan Kingdom under the “Kings of Pontos” just because they shared the same ruler. They were distinct polities that happened to share a ruler for a short period of time, just like the Greco-Baktrians and Indo-Greeks.

More info about how these sets of rulers are divided between kingdoms can be seen on the Zeno pages for each kingdom:
https://www.zeno.ru/showgallery.php?cat=1048
https://www.zeno.ru/showgallery.php?cat=1049

please consider@sujit_kumar and @Jarcek  and @tdziemia 

please consider@sujit_kumar and @Jarcek  and @tdziemia