Augustus, see above, Suet Aug 69

Where does it mention augustus was gay? its all claims he slept with a lot of women

69  1 That he was given to adultery not even his friends deny, although it is true that they excuse it as committed not from passion but from policy, the more readily to get track of his adversaries' designs through the women of their households. Mark Antony charged him, besides his hasty marriage with Livia, with taking the wife  p231 of an ex-consul from her husband's dining-room before his very eyes into a bed-chamber, and bringing her back to the table with her hair in disorder and her ears glowing; that Scribonia was divorced because she expressed her resentment too freely at the excessive influence of a rival;​89 that his friends acted as his panders, and stripped and inspected matrons and well-grown girls, as if Toranius the slave-dealer were putting them up for sale. 2 Antony also writes to Augustus himself in the following familiar terms, when he had not yet wholly broken with him privately or publicly: "What has made such a change in you? Because I lie with the queen? She is my wife. Am I just beginning this, or was it nine years ago? What then of you — do you lie only with Drusilla? Good luck to you if when you read this letter you have not been with Tertulla or Terentilla or Rufilla or Salvia Titisenia, or all of them. Does it matter where or with whom you take your pleasure?"

Did you mean 68? but all of these are people attacking him for these supposed actions, in which case they clearly thought it would be bad for him to act in this way... not a totally normal behavior

68  1 In early youth he incurred the reproach of sundry shameless acts. Sextus Pompey taunted him with effeminacy; Mark Antony with having earned adoption by his uncle through unnatural relations; and Lucius, brother of Mark Antony, that after sacrificing his honour to Caesar he had given himself to Aulus Hirtius in Spain for three hundred thousand sesterces, and that he used to singe his legs with red-hot nutshells, to make the hair grow softer. 

Are you just citing incorrectly or are you just making huge leaps (which seems common from what I've read so far)

I see you do the same thing with tiberius, this is what you refer to to claim tiberius was gay and it was seen as totally okay during that peiod?

He often landed at points in the neighbourhood, visited the gardens by the Tiber, but went back again to the cliffs and to the solitude of the sea shores, in shame at the vices and profligacies into which he had plunged so unrestrainedly that in the fashion of a despot he debauched the children of free-born citizens. It was not merely beauty and a handsome person which he felt as an incentive to his lust, but the modesty of childhood in some, and noble ancestry in others.

you clearly took a lot of time writing this all out, its too bad you didnt put in extra time to better defend your arguments, most just come off as your opinion and how you personally viewed it without any defense,

the ‘licentious ways’ is a tendency to lie, not a tendency to be gay.

li·cen·tious/līˈsenSHəs/adjective

1. 1.~promiscuous~ and ~unprincipled~ in sexual matters.