Yes, this wording—“Allah’s bahlah (curse)”—has been narrated in reports attributed to the Prophet from Ibn Masʿud and others, and in a report attributed to the Companion Abu Bakr al-Siddiq. The latter is more likely to be correct, as I established in al-Daʿifah (6867).
On this occasion, it is appropriate to mention that al-Hafiz al-Mundhiri cited the hadith—without the story—from the narrations of Muslim and al-Nasa’i, then said (3/140/34):
“It was also narrated by Abu ʿAwanah in his Sahih, in which he said ...”
I say: He then cited the second half containing the words, “Allah’s bahlah,” and passed over it in silence. How objectionable this was, for it gave the impression that it is authentic and that it is from the Musnad of ʿAishah. All of that is mistaken, for, as noted above, it is weak, rejected, and has a double break in its chain. So take heed and be clear-sighted; do not be an unthinking conformist like the three annotators who speak without knowledge and declare reports authentic without understanding. Allah is the One whose help is sought.
With this, the discussion of the first route is concluded.
The second route is through Jaʿfar ibn Burqan, from ʿAbd Allah al-Bahiyy, from ʿAishah, attributed to the Prophet, in an abbreviated wording:
“O Allah, whoever treats my Ummah gently, treat him gently; and whoever makes things difficult for them, make things difficult for him.”
This is a good chain of transmission according to Muslim’s criteria. Ahmad recorded it in al-Musnad (6/62 and 260).
The third route is through Muhammad ibn Adam al-Maṣīṣī, who said: ʿAbd Allah ibn al-Mubarak narrated to us, from Sufyan al-Thawri, from Jaʿfar ibn Burqan, from ʿAbd Allah ibn Dinar, from her, with the same wording.
Al-Tabarani recorded it in al-Muʿjam al-Awsat (7/465/6911), and al-Asbahani in al-Targhib (2/881/2155). Al-Tabarani said:
“No one narrated it from Sufyan except Ibn al-Mubarak.”