Theo is a user of the Persona Compendium and a self-described "governor of power". What this means is never fully described, but he is at least demonstrated to be an extremely powerful individual, on par with various in-series gods and similar: it can be presumed that his level of strength is similar to his sister's, who has been seen to obliterate the incarnation of a force of nature in one blow.
In theory, it is very likely he could access any Persona in existence as of his featured game. However, he has only been actively seen to use a small selection. He favours Personas with an Abrahamic religious theme, angels and devils.
In P3 he uses Uriel, Gabriel, Michael, Raphael, Sandalphon, Lilith, Abaddon, Beelzebub and Metatron. In PQ he uses Beelzebub, Gabriel, Sandalphon and Lilith from that list, and adds Satan to the lineup. ... Yeah.
Between them, his P3 set provides coverage for all elements found in his game's attacks (wind, fire, ice, lightning, light, dark), a healing skill, a range of status effects, and the "9999 HP Megidolaon" super attack. In PQ he uses what is more of a support set of moves.
( Persona stats, based on P3P )