Marwyn's ability is a mana ability that produces equal to her power and doesn’t use the stack, so you can tap Marwyn repeatedly if you can untap her between activations; Staff of Domination’s activated abilities let you untap Marwyn (,) and untap the Staff itself (), creating a loop whose net mana per cycle is (Marwyn’s power) − 4. If Marwyn’s power is 5 or greater you can generate infinite mana (and then use Staff’s , draw or other staff abilities) [Ruling [2018-04-27]].
Step 1
Have Marwyn and Staff on the battlefield and Marwyn with power P (including any +1/+1 counters she already has). Tap Marwyn to activate her ability: add equal to Marwyn's power. This is a mana ability and resolves immediately (it does not use the stack) [Ruling [2018-04-27]].
Step 2
While the generated mana is in your mana pool, activate Staff’s , ability, paying (if you can) and tapping the Staff as part of the cost; target Marwyn. When that activated ability resolves it untaps Marwyn.
Step 3
Now Marwyn is untapped. Tap Marwyn again to produce another P green mana (the mana ability resolves immediately) [Ruling [2018-04-27]]. Use from the available mana to activate Staff’s : Untap this artifact, making the Staff untapped and ready to be tapped for the next , activation.
Step 4
With Staff untapped you can pay and tap it () to activate , again, untapping Marwyn when it resolves. After the second Marwyn tap and paying + you have net mana change per full cycle equal to P − 4.
Step 5
If P ≥ 5 each cycle gives net positive mana, so you can repeat indefinitely: each iteration untaps Marwyn and the Staff, lets you tap Marwyn again to get more mana, and so on, producing infinite green mana which you can spend on Staff’s , draw ability or other effects to draw/gain life/etc as desired.
Resolution
Marwyn’s is a mana ability and resolves immediately (it does not use the stack), so the loop works as described: each full cycle generates (power − 4) green mana; with power ≥ 5 you get net positive mana and can loop to produce infinite mana and then draw/ gain life/ etc using Staff of Domination’s other abilities [Ruling [2018-04-27]].