I pointed out something similar about the monks, but there are a small selection of Rogue feats that allow you to take a little bit of spellcasting from any of the Spell lists, but they don't say which attribute you would use to calculate Spell DCs and Spell attacks. I would assume it would be your choice of any of the three mental stats, but again the rules don't say.
I would be inclined to consider the cantrips and other spells gained as following the rules for innate spells, since it also fails to list proficiency in spell attack rolls/spell DCs, whereas the rules for innate spells cover both those aspects, so as a result I would say it uses Charisma and gives you Trained proficiency.