I just found this great article that discusses references to cultivated plants by D. T. Potts [ https://nyu.academia.edu/DTPotts ]

Contributions to the agrarian history of Eastern Arabia I. Implements and cultivation techniques

1994, Arabian Archaeology and Epigraphy 5: 158 – 168, https://doi.org/10.1111/j.1600-0471.1994.tb00063.x

This paper focuses on early agricultural implements in eastern Arabia, examining four hoe blades and an ard share ranging in date from mid-2nd millennium B.C. through the Seleucid or Parthian period. These objects are considered in light of more recent ethnohistoric evidence pertaining to garden cultivation by hand and the plough in the region.

Contributions to the agrarian history of Eastern Arabia II. The cultivars

1994, Arabian Archaeology and Epigraphy 5: 236 – 275; https://onlinelibrary.wiley.com/doi/10.1111/j.1600-0471.1994.tb00071.x

https://www.academia.edu/1903825/Potts_1994_Contributions_to_the_agrarian_history_of_eastern_Arabia_II_The_cultivars

Following on from an earlier study of agricultural implements and cultivation
techniques in eastern Arabia, this paper presents the palaeobotanical and ethnohistoric
evidence available on early cultivars in the region from the late 4th millennium
B.C. through the premodern era. The introduction of new crops is discussed and,
where possible, the evidence is marshalled which pertains to the origins of those
new introductions and the dates of their arrival in the Gulf region.