Well, simply put, EigenLayer is a restaking protocol on Ethereum, that enables it's stakers to restake their Native ETH or Liquid Staking Tokens, AKA more profit options for users.
You're also right about pre market on Bitget, it's one of the events they announced for their users alongside the Candybomb and Social Giveaway All of these are just ways for their users to benefit from the exchange, and also give the project more exposure.