The default view for mobile in the Booking centre is to just show what courts are booked, colour coded to highlight why and by whom. For example, courts inviting you to play would be shown in yellow. Your bookings are show in green.
This view is a condensed view so that at least 4 courts can be shown at the same time on landscape mobile view. If you click the button in any court slot a popup will give you more details.
Towards the top right of the screen you'll see a button looking like this:
Click this and the court slot buttons will expand to show full details of the booking as per the popup mentioned above. Some people prefer this at the expense of not seeing so much of the booking schedule on the screen.
ManageMyMatch remembers this setting for you so that next time you invoke the Booking centre it'll show it as you left it. You can toggle the view by repeatedly clicking this button.