For starters: you can split a Tx into multiple Txs (transmitting to receiving direction) but you can't possibly join multiple fibers into one (transmitting to receiving as well).
The Tx on the tap goes into the Rx on the NIC. The NIC needs to be able to "link" to the Tx only, without negotiation.
edit
From your diagrams, you need to use either two simplex LC patches or a splitable one (many are) to connect the dual LC tap-out to two monitor ports (Rx side). Each port's Tx side stays empty (you should put on a dust cover though).
edit2
The diagram you linked to
shows that the link's signal (LC port 1-2 to 3-4) is split by direction to LC port 5 and 6 - both are Tx. 4→1 is split to 6 and 2→3 is split to 5.