Morena is a purely personalist party of Andres Manuel Lopez Obrador (AMLO). It has been created for the explicit reason of avoiding the messiness of multiple "currents" of the PRD, because of which AMLO had to spend time and effort in each election getting the nomination. This way he has automatic ballot access and financing for his campaigns independent of anybody else. As AMLO is not a very prolific author, there is still no formal ideology of Lopezobradorism codified (but, I trust, this is only a matter of time).
Pretty much the only (semi-)independent grouping within the party is the Zacatecas machine of the Monreal brothers. Ricardo, the eldest (? not sure if he is, but he is the most prominent for sure) is the former Zacatecas governor, who is currently the mayor of the central borough of Mexico City. Unlike pretty much everybody else in the party other than AMLO, Monreals are a real political force on their own. For the moment they are willing to be fully subservient to AMLO, in the hopes of Ricardo inheriting the leadership at some point.
Everybody else in the party are either have beens, who are friendly to AMLO and willing to go along with him, or outright groupies of the Leader who would willingly do whatever he orders. It is useless to talk of their ideology: to the extent that there is any, it is a personality cult.
LOL Thanks. So AMLO called for austerity during his 2012 run for president and he was a member of the PRD - the ''left, left'' party (which also coalitions with the right but whatever)? Mexican politics is interesting to say the least.