Hi Tarun,
Unfortunately I don't think it will work to record your pulses with FED3, as it wasn't designed to record external data. The biggest issue is that the real time clock inside FED3 only has a 1s resolution. So you would not be able to timestamp the pulses from your photometry system accurately enough to align with your photometry data later.
So unfortunately I think you will have to figure out why your photometry system produces artifacts when you give it TTL pulses. This shouldn't happen and may be worth nailing down anyway. Best, -Lex