Q1:

In the RTL rulebook about encounters with lieutenants said that "Additionally, two cards without a trechery cost can be added to his(OV's) hand for one trechery of the current type."

It mains that OV can only two cards add to his hand with one point of one kind of trechery he has only one time or many times until his hand cards up to 8 ?

Q2:

In FAQ about RTL wrote the topic about OV's deck in dungeon "If the Overlord cycles through his deck twice in the same dungeon level, the heroes are ejected from the dungeon and are forced to flee it. Note that the Overlord's Keep is not subject to this rule."

First, Is it mains about the path:

Dungeon begin → many rounds → OV's deck used up first time→ Mixing the deck and continue → many rounds → OV's deck used up second time → hero ejected from the dungeon

Second, if the first correct, Is there any punishment about conquest token like OV gain 3 conquest ? And how about in OV's Keep ? Or just remix the deck ?

Sorry to reply once again

Q3

If hero upgrade their power dice, the block dice they extra training before whether the train token back to the pool or continue use that just place the siler or gold token on it ?

Thanks for your answer

In the RTL rulebook about encounters with lieutenants said that "Additionally, two cards without a trechery cost can be added to his(OV's) hand for one trechery of the current type."

It mains that OV can only two cards add to his hand with one point of one kind of trechery he has only one time or many times until his hand cards up to 8 ?

As often as he wants, up to 8 cards.

In FAQ about RTL wrote the topic about OV's deck in dungeon "If the Overlord cycles through his deck twice in the same dungeon level, the heroes are ejected from the dungeon and are forced to flee it. Note that the Overlord's Keep is not subject to this rule."

First, Is it mains about the path:

Dungeon begin → many rounds → OV's deck used up first time→ Mixing the deck and continue → many rounds → OV's deck used up second time → hero ejected from the dungeon

Second, if the first correct, Is there any punishment about conquest token like OV gain 3 conquest ? And how about in OV's Keep ? Or just remix the deck ?

Yes, to the path you mention, though if the heroes go to another dungeon level in that time (i.e. through a portal) then the ejection counter starts again.

The OL gets 3 conquest when he cycles his deck. There's no additional penalty or reward for the heroes being ejected.

If hero upgrade their power dice, the block dice they extra training before whether the train token back to the pool or continue use that just place the siler or gold token on it ?

Keep all training tokens on the character.