This may be a limitation of Acrobat Reader on mobile rather than an issue with your InDesign file.
First, make sure you exported it using Adobe PDF (Interactive) and set Forms and Media to Include All. Adobe recommends this for keeping buttons and other interactive elements in the exported PDF.
If the buttons work correctly on desktop Acrobat but not on the tablet, the mobile app may simply not support the particular type of interaction you're using.
If the document needs to have the full InDesign interactivity on tablets, I’d try Publish Online instead. It supports interactive InDesign content like buttons, slideshows, animations, audio and video in a mobile web browser.