As someone with no firsthand experience with Lebanese food I can’t offer any opinions about “authenticity”
But the Phaidon cookbooks are beautiful and they have one The Lebanese Cookbook https://www.amazon.com/dp/0714879096/ref=cm_sw_r_cp_api_i_ES80ENKVTD1GQ7ZFN1RY
Also if you want one in the cheap I’d recommend
Limited-time deal: Rose Water and Orange Blossoms: Fresh & Classic Recipes from my Lebanese Kitchen https://www.amazon.com/dp/B00THMCC7G/ref=cm_sw_r_cp_api_dl_6Y8V5JRS1AVFPGFE94PE
It’s $4.99 for the kindle version right now.
Also consider these bargain kindle cookbooks more broadly on “middle eastern cuisine” all around ~$5 or less.
https://www.amazon.com/gp/product/B01NAW3RDM/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i0
https://www.amazon.com/gp/product/B0841N95PJ/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i1
https://www.amazon.com/gp/product/B007SGM160/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i5
https://www.amazon.com/gp/product/B00JTCJEMK/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i3
Also Claudia Roden’s Arabesque which includes Lebanese food is a steal at $7.99 for the kindle version
https://www.amazon.com/gp/product/B001O1O7W6/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i3