I would be really leery about that change of diagnosis when your mother is a type 1. The thing is with LADA, it is very slow developing. You need two tests done, GAD to test for antibodies, it is usually positive if you are a type 1, there are rare cases where it's not. The second test is a C-peptide test. That will tell you how much insulin you are making. LADA's still make insulin, 8 years plus, but it decreases over time. But a type 2 especially at the beginning makes extra insulin compensating for the insulin not working well and insulin resistance so they will be on the higher side.
A third of type 1's are misdiagnosed as a type 2 at first. It still happens far too often. Both those medications are for a type 2, and while maybe a type 1 could take them, they don't normally. A type 1 treatment is solved by insulin which they definitely need as time goes on. Victoza literally about killed me I got so sick when I took it. I was a misdiagnosed type 1 and it was probably because I needed insulin more than anything.
Your mother being a type 1, means the tendency is in your family. You don't say what tests were done, but I would get copies and start looking up the results yourself. Sometimes the interpretation of the results could be different among different doctors. Obviously there is a problem with so many type 1's still being misdiagnosed.