Sorry a noob question (if this has been discussed before please point out).
If Dzogchen does not admit the two truths, how does it explain dependent arising?
Relative truth is not true.
But even Nāgārjuna rejects the two truths:
"Since the Jina proclaims that nirvana alone is true,
what wise person would not reject the rest as false?"
On the ultimate level all events in samsara and nirvana never come into being, and so have no separate existence. On the relative plane they are illusory figments of mind, so again they have no separate existence. They are unoriginated events appearing in a plethora of magical illusion, which is like the reflection of the moon in water, possessing an inherent acausal dynamic. Since this essentially insubstantial magical illusion also never comes into being, ultimate and relative are identical and their identity is the one cause. Thus intuitive realization of [total presence] arises [with attainment of the unity of the two truths].
- Padmasambhava - Man ngag lta ba'i phreng ba