• tat - prabhāvaḥ — having his (father's) power
  Compound: tat (his) + prabhāva (power, influence). Prabhāva in Vaiṣṇava theology denotes inherited or conferred capacity — not the bhakta's own but Bhagavān's working through him. Gauḍīyas: the elders' framing is right in form, wrong in attribution.
• yatra yatra — wherever
  Distributive locative — 'in whatever place.' The Bhāgavata's universal quantifier for a bhakta's traveling influence. The same pattern recurs in BG 18.78 ('yatra yogeśvaraḥ kṛṣṇaḥ').
• abhivarṣate — will provide rain
  Present middle of abhi-√vṛṣ. Indra rains 'toward' / 'upon' the place where Akrūra is. Gauḍīyas read abhi- prefixes in such verbs as the divine attention toward a particular site — rain is intentional, not random.
• upatāpāḥ — painful disturbances
  From upa-√tap (to scorch). The technical word for afflictions that 'heat' the body and mind. Gauḍīyas: where a bhakta lives, upatāpa is barred — a doctrinal claim about saint-presence, not folk superstition.
• mārikāḥ — untimely deaths, epidemics
  From mṛ (to die). Bhāgavata's term for sudden / pestilential death. Pairs with upatāpa as the second mark of bhakta-absence — the elders use the precise pair that Bhāgavata diagnostics employ.

• Where do you under-recognize devotees whose presence brings weather?
• Whose presence in your community produces 'rain' you take for granted?

The elders generalize from the father to the son: wherever Akrūra goes, the rains will follow. Gauḍīyas read this as a beautiful, partially-true claim — true about the prabhāva of a bhakta, partially blind to the fact that the prabhāva is borrowed from Kṛṣṇa, who is right there in their own city.