You can involve some machinery in that to make it not so easy:
To give Player1 genes to Player2:

• Take blood sample of Player1
• Purify blood sample of Player1
• Take blood sample of Player2
• Purify blood sample of Player2
• Put blood sample of Player1 into Antigene analyser
• Put antigene analyzed sample of Player1 blood into Antigene discarder
• Put Player1 antigene-less blood sample into Plasmid Extractor to extract plamids one-by-one, losing some of the progress in the process
• Inject plasmids into Player2 blood
• Inject Player2 blood sample into Player2
• Profit

Antigene Analyser: Machine that analyses antigenes - things, that make blood groups. Takes same amount of energy as DNA Analyzer
Antigene Discarder: Machine that removes antigenes from blood, damaging injected plasmids, which is which progress goes down. Takes same amout as energy as DNA extractor and Plasmid Injector combined
Plasmid Extractor: Extracts uncommon for entity type plasmids from antigene-discarded sample. Takes same amount of energy as Cloning Machine.

nevermind, didn't notice the config option.
(you can still consider the option for hard mode though, if you want)