Hypergenesis and ETB effects

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So I played hypergenesis and we were laying down cards.  Another player placed goblin recruiter.  When does he search his library?

Is it the same answer for goblin matron?
It's the same for both (since the trigger condition for both is "When ~ enters the battlefield"). Their abilities trigger when they enter the battlefield, but nothing happens at that time.

603.2. Whenever a game event or game state matches a triggered ability’s trigger event, that ability automatically triggers. The ability doesn’t do anything at this point.

After Hypergenesis has finished resolving (i.e. after all repeats are done), any abilities that triggered will be placed on the stack in APNAP order.

603.3. Once an ability has triggered, its controller puts it on the stack as an object that’s not a card the next time a player would receive priority. See rule 116, “Timing and Priority.” The ability becomes the topmost object on the stack. It has the text of the ability that created it, and no other characteristics. It remains on the stack until it’s countered, it resolves, a rule causes it to be removed from the stack, or an effect moves it elsewhere.

They'll then start to resolve in the opposite order they were placed on the stack.
Goblin Recruiter and Goblin Matron both have an "enters the battlefield" triggered ability, so the answer is the same for both of them.

Since Hypergenesis is still in the process of resolving, any abilities that trigger won't be added to the stack (and of course, won't resolve) until Hypergenesis is completely finished resolving.  So, once all players are finished putting cards from their hand onto the battlefield, any applicable triggered abilities will be added to the stack.  And, as per usual, a given triggered ability won't resolve until all players pass priority in succession.