The pressure from my hot water heater is much lower than the cold? Heater is 2 years old. Been that way since install.

IS it a 1/4 turn valve or a gate valve on the cold side of the heater? Make sure the valve is all the way on. Do you have a water softener or a filter that only serves the hot? If so, bypass them to see if that changes anything. Is it built with heat trap nipples? Get rid of them. THat is just my opinion.