I am a little confused by what abilities you are referring to that let you add your Charisma modifier to the damage done by spells.
Looking at the Undying patron in the Sword Coast Adventurer's Guide, I don't see anything that allows you to add your CHA modifier to damage as part of an Otherworldly Patron class feature.
How are you casting Flamestrike as an Undying Patron Warlock? I don't see it in either the Warlock or Undying Expanded spell list.
Only The Fiend patron grants flame strike.
Anyhow the description for Flamestrike reads:
A creature takes 4d6 fire damage and 4d6 radiant damage on a failed save, or half as much damage on a successful one.
You don't add your CHA bonus to it at all.
Likewise I can't find a spell (cantrip or otherwise) called "Searing Light", do you mean Sacred Flame?
The target must succeed on a Dexterity saving throw or take 1d8 radiant damage. The target gains no benefit from cover for this saving throw.
The spell’s damage increases by 1d8 when you reach 5th level (2d8), 11th level (3d8), and 17th level (4d8)
So even at 17th level you would do 4d8 radiant damage, but you wouldn't add your CHA bonus to it.
(Sacred Flame likewise isn't in the Warlock's spell list but you could get it via Pact of the Tome)
Unlike melee or ranged weapon attacks, you don't add your spell casting modifier to damage from spells, unless the spell or a Class Feature specifically says you do.
The Agonising Blast Invocation allows a Warlock to add their Charisma modifier to the Eldritch Blast Cantrip.
Likewise Light and Knowledge domain clerics get Potent Spellcasting at 8th level.
Potent Spellcasting said:
Starting at 8th level, you add your Wisdom modifier to the damage you deal with any cleric cantrip.
Draconic Bloodline Sorcerers gain Elemental Affinity at 6th level.
Elemental Affinity said:
Starting at 6th level, when you cast a spell that deals damage of the type associated with your draconic ancestry, add your Charisma modifier to that damage.
And School of Evocation Wizards gain Empowered Evocation at 10th level.
Empowered Evocation said:
Beginning at 10th level, you can add your Intelligence modifier to the damage roll of any wizard evocation spell you cast.
So... there are a few class abilities out there that let you add your spellcasting modifier to the damage of your cantrips/spells but they are an exception and only kick in at high levels.