Hi

For admission n PUMBA, Maharashtra state students have to qualify MH-CET exam.

Outside Maharashtra Candidates (OMS), students can apply through CAT/MAT/ATMA/XAT/MH-CET.

So, yes it does accept MAT scores. Please visit- http://www.pumba.in/programs/mba-plus-process.html

The selection procedure of MAT 2018 consist of Group Discussion (GD), Personal Interview (PI) and or Written Ability Test (WAT) rounds. The selection process starts after the result of MAT 2018 is announced. Right after the test, candidates are first shortlisted on the basis of their MAT result or cutoff. The shortlisted students are called by the institutes in which they have applied for admission.

https://bschool.careers360.com/articles/mat-selection-procedure 

Regards