It doesn't matter who provided the insurance, or even whether the insurance was overlapping. You merely need to report that you had insurance.
If any of the plans was purchased from the federal or state Marketplace, then you need to report the 1095-A. That insurance is subsidized by the government, and they want to make sure that you pay your fair share. If by "government insurance" you mean insurance obtained through an employer, then you don't need to report anything other than that you were covered.
You will need to ask your mother if she purchased her insurance from the Marketplace or got a 1095-A. If she did, and you are not a dependent, then you will need to report your shared percentage of the plan. Otherwise, you have nothing to report other than that you were covered.
