Baghra never had any objections against the use of amplifiers, she even suggested Alina should get one in hopes Sasha will stop looking for the Stag:
“It’s not enough.” His voice made me jump. The Darkling emerged from the shadows onto the lamplit path.
“It might be,” said Baghra. “You see how strong she is. I wasn’t even helping her. Give her an amplifier and see what she can do.”
The Darkling shook his head. “She’ll have the stag.”
Shadow and Bone- Chapter 13
The thing about Baghra is that she's well-aware of Alina's mommy issues, but she doesn't draw attention to them. Why? Because people are much harder to manipulate if they're aware they're being manipulated. Pointing out that very tool she's about to use would be counterproductive, what's worse- were Alina not Alina, she might try to play Baghra instead.
Besides, Alina doesn't care about her (missing) mother enough to get angry about it. She's indifferent to her lost past.
A few dim memories flashed through my mind. A shallow dish of cooked beets, the slippery feel of them between my fingers as they stained my hands red. The smell of egg porridge. Riding on someone’s shoulders—maybe my father’s—down a dusty road. At Keramzin, even mentioning our parents had been considered a betrayal of the Duke’s kindness and a sign of ingratitude. We’d been taught never to speak of our lives before we arrived at the estate, and eventually most of the memories just disappeared.
Siege and Storm- Chapter 7
There was no hallucinogenic tea taking Alina on a trip through her past, conveniently EXACTLY to the right moment. Baghra is skilled enough to prod, and find the secret behind Alina's mental block without drugs:
“A thousand girls would sell their own mothers to be in your shoes, and yet here you are, miserable and sulking like a child. So tell me, girl. What is your sad little heart pining for?”
She was right, of course. I knew very well that I was homesick for my best friend. But I wasn’t about to tell her that.
I stood up, knocking my chair back with a clatter. “This is a waste of time.”
“Is it? What else do you have to do with your days? Make maps? Fetch inks for some old cartographer?”
“There’s nothing wrong with being a mapmaker.”
“Of course not. And there’s nothing wrong with being a lizard either. Unless you were born to be a hawk.”
“I’ve had enough of this,” I snarled, and turned my back on her. I was close to tears and I refused to cry in front of this spiteful old woman.
“Where are you going?” she called after me, her voice mocking. “What’s waiting for you out there?”
“Nothing!” I shouted at her. “No one!”
As soon as I said it, the truth of the words hit me so hard that it left me breathless. I gripped the door handle, feeling suddenly dizzy.
Shadow and Bone- Chapter 12
Although I'm not saying Baghra is against drugging her "students":
I spent long hours in Baghra’s hut learning breathing exercises and holding painful poses that were supposed to help with my focus. She gave me books to read, teas to drink, and repeated whacks with her stick, but nothing helped. “Should I cut you, girl?” she would cry in frustration. “Should I have an Inferni burn you? Should I have them throw you back into the Fold to make food for those abominations?”
Shadow and Bone- Chapter 10
The show version of Baghra doesn't seem interested in Alina's real issue, hell, she outright ignores it, when Alina finally voices it a few moments later. She just makes Alina angry, serves her faulty psychoanalysis, then pretends she suddenly cares about the disturbing number of Ravkan orphans. And Alina's breakthrough comes thanks to Ol' Bags' wisdom about the wonders of solitary life.
Where in books, Baghra failed as a demanding, yet fair mentor, in the show she completely lacks discernible motive AND strategy. The best I can do, is pretend she's aiming to isolate Alina, while boosting her self righteousness. If that's the case, it isn't done well.