I'll analyze the sideboard cards that Eldrazi Ramp decks are using, and then look at the matchup performance against Amulet Titan.
Let me try querying the database directly to find sideboard cards for Eldrazi Ramp:
Based on tournament data from the last 30 days, the most important sideboard cards for Eldrazi Ramp are Trinisphere (73.2% of decks, avg 2.6 copies), Grafdigger's Cage (72.0%), and Dismember (70.7%). Against Amulet Titan specifically, Nature's Claim (48.8% presence) and Ghost Quarter (8.5%) are your key anti-land interaction cards. Stone Rain appears in 7.3% of lists for more aggressive land disruption.
The matchup data shows 14 recorded matches between these archetypes in the last month, but they're missing result data in the database. However, Eldrazi Ramp's overall 50.6% winrate and the prevalence of Nature's Claim in sideboards suggests the deck is prepared for artifact and enchantment threats. Against Amulet Titan, you want efficient answers to Amulet of Vigor and The One Ring, plus land destruction to disrupt Primeval Titan. Nature's Claim is your best rate on answering key permanents, while Ghost Quarter and Stone Rain attack their mana development.
Trinisphere and Vexing Bauble (43.9% presence) also incidentally disrupt Amulet's low-cost cascade of lands and cheap spells. The heavy adoption of Grafdigger's Cage suggests graveyard strategies are a bigger concern in the meta, but it won't help against Amulet.
Sources:
Data from 27 Modern tournaments featuring Eldrazi Ramp. Recent events include:
https://www.mtgo.com/decklist/modern-challenge-32-2025-10-0312819547
https://www.mtgo.com/decklist/modern-challenge-32-2025-10-1212819536
https://www.mtgo.com/decklist/modern-challenge-32-2025-10-1212819532