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What Criteria Do Miners/validators Use to Select Transactions from the Mempool?

Miners or validators primarily select transactions based on the offered fee per unit of gas (gas price or priority fee). Higher fees mean a higher immediate reward, so they are prioritized.

Other secondary criteria can include the transaction's age (to prevent starvation), the total gas limit, and, increasingly, considerations for Maximal Extractable Value (MEV) to optimize the block's total value.

What Incentives Do Validators Have to Participate in MEV Extraction?
How Does the “Base Fee” and “Priority Fee” System Work under EIP-1559?
How Does the Transition to Proof-of-Stake (PoS) Impact MEV Extraction Methods?
What Is the Difference between Gas Limit and Gas Price?