How Are Transactions Made Through Merkle?

[ContentWriter]

When you see this on the explorer, what does it mean?

"This transaction is made through Merkle and is not shared to the public transaction pool"

[nc50lc]

Which blockexplorer in particular?
Can you give an example transaction that shows such message?

With the information provided in the OP, it makes little sense in terms of Bitcoin's protocol.
What I get from the limited info is: a service named "Merkle" has directly included a transaction to a block that it mined without broadcasting it to any of its peers' mempool.

[DifDrama]

This means the transaction is verified using a Merkle tree structure without broadcasting it to the public blockchain.

[ABCbits]

When you see this on the explorer, what does it mean?

"This transaction is made through Merkle and is not shared to the public transaction pool"

"is not shared to the public transaction pool" probably means that transaction never broadcasted to any Bitcoin nodes and directly added on a block by certain mining pool. The other part doesn't make sense to me though.

This means the transaction is verified using a Merkle tree structure without broadcasting it to the public blockchain.

Your post doesn't make sense, you don't need Merkle tree structure tree to verify transaction. Although it's worth to mention SPV wallet use Merkle tree structure to verify whether certain transaction actually included in a block.

[ContentWriter]

I know this is supposed to be a Bitcoin section, but it happened in an ETH explorer. I was windering if Merkel applies to ETH as in BTC. I intentionally used low fee for it before using a normal fee. The low fee tx didn't even show up initially: https://etherscan.io/tx/0x2e567e0b04a96b141a1c881382dffe64377a2e37d09188c28b775403b614c0b4

[ContentWriter]

This means the transaction is verified using a Merkle tree structure without broadcasting it to the public blockchain.

So there's nothing I can do to make it beoadcast to public blockchain?

[ranochigo]

I know this is supposed to be a Bitcoin section, but it happened in an ETH explorer. I was windering if Merkel applies to ETH as in BTC. I intentionally used low fee for it before using a normal fee. The low fee tx didn't even show up initially: https://etherscan.io/tx/0x2e567e0b04a96b141a1c881382dffe64377a2e37d09188c28b775403b614c0b4

That is not relevant to Bitcoin. Merkle is a service for Ethereum and their tokens: https://merkle.io/. It does not apply to Bitcoin and if you're able to see it on blockexplorers then it won't be 'private' anymore.

Actual private transactions are broadcasted directly to Bitcoin mining pools, but serves no advantage unless it is a non-standard transaction.