Staking ETH on layer 2 or other chains

I have some eth on avalanche for yield farming but i want to stake it for higher yield. Is there a way to stake my eth on layer 2 or other chains? Lido’s stETH seems to be only on layer 1. Trying to avoid gas fees.

Incidentally, has anyone used Rubic before for cross chain swaps? I guess if i really have to, i can swap my eth on avalanche for stETH on layer 1.