Abdullah Abbas is a double name, two names used together, which is the usual pattern in Pakistan. Each half keeps its own meaning, so the name is best read as both at once rather than as a single phrase.
عبداللہ عباس دو ناموں سے مل کر بنا ہے۔ عبداللہ کا مطلب "اللہ کا بندہ"، اور عباس کا مطلب "شیر" ہے۔ پاکستان میں دو ناموں کو ملا کر رکھنا عام رواج ہے۔
Each meaning above comes from that name's own page and is checked the same way. See how we source our data. We do not combine the two into a single invented meaning.