Axis bank has a cooldown period of 3 to 6 months.
So, from your last Limit Enhancement, you will not see any offer till that time. After that also, there is no guarantee for auto pre approved LE offer, depends on the bank and your credit profile as well as spend/repayment history on that particular card(s), but after 3-6 months you become eligible to manually request for a LE.
But it's not like that if you manually request, then they will not give auto offer. They can still give pre approved LE offers depending on your relationship with the bank, but after 3-6 months from last LE.