Mobility is a very commonly misused word. Most of the time when you see mobility techniques explained it involves big movements that are generalized and not focused on addressing the specific tissue needs of the person doing them. Mobility training is dedicated to improving the quality of a joint and focuses on building strength in any and all ranges that are deficient. Another word for mobility is strength training. When you do mobility work you are building strength in the ranges that need it and are able to use the range to perform a variety of movements.
Training can be really hard to fit into life and it can be frustrating to not see results quickly. The truth is, becoming a good mover, working through an injury or trying to improve your mobility takes a long time. It can take years to address certain issues and even then you may not be at a place that you want. This is why it's so important to enjoy the process and find a deeper reason within yourself to train other than becoming good at a sport or trying to look sexy. It's okay to have these type of goals but they can't be the only thing driving you to move your body. Movement needs to be a daily commitment and not just something that you do when you see your trainer or when you feel like you have time. You have to make time to move and build your life around it if you want to get anywhere with your body and your movement goals.