Esper Control here is really a go-wide value deck with Ocelot Pride, Phelia, Exuberant Shepherd, and Starfield Shepherd tokens backed by Solitude, so Firespout is a Sorcery that punishes them for overextending into small creatures. Vexing Bauble taxes their glut of one-mana interaction like Consign to Memory and Spell Pierce, making it harder for them to protect Quantum Riddler or their engine pieces. Since they have very few sweepers of their own besides Wrath of the Skies, you can generally play a longer game and let Urza's Saga and Malevolent Rumble grind out card advantage. Watch for Teferi, Time Raveler bouncing your permanents to strand mana, and sequence Ancient Stirrings around it when possible.
Boros Energy floods the board with cheap creatures like Solitude and grinds with Wrath of the Skies and Price of Freedom, so Firespout comes in as a Sorcery that can wipe their early board before they stabilize. The extra Unholy Heat give you more efficient removal against their low-toughness threats, while Vexing Bauble taxes their glut of one-mana interaction and removal spells. Cut the narrow artifact answers and Walking Ballista, which is too slow and too easily picked off by their removal suite. Play around Wrath of God and Wrath of the Skies by not overextending into open mana.
Amulet Titan wants to chain Arboreal Grazer and Amulet of Vigor into a fast Urza's Saga or Primeval Titan-fueled Scapeshift kill, so Grafdigger's Cage disrupts their Dryad Arbor and any graveyard-based value while Vexing Bauble taxes their cheap interaction and Green Sun's Zenith tutoring for cheap. Since this is fundamentally a mirror-adjacent race between two ramp decks both leaning on Urza's Saga, prioritize proactive threats like Eldrazi Temple starts into Emrakul over trying to interact piece by piece. Keep the extra removal in reserve since they have relatively few individually threatening creatures outside of Cultivator Colossus and Primeval Titan. Be mindful they'll bring in Force of Vigor to blow up your own artifact-lands package, so don't overcommit resources to Urza's Saga chapter three alone.
Suggested new sideboard cards to pick up for the current metagame.
Missing sideboard cards? The full 15-card sideboard runs about $167.
Buy sideboard on Manapool