I am not sure what you are asking so bear with me.
If you are asking if you should be praying any personal prayer at an EF Mass during the consecration, I believe the answer is no. If there is a prayer that the layity says, I am sure the EF proficient folks here will correct me.
If your second part refers to prayer in front of the tabernacle (which I presume to be outside of Mass), then no, there is no specific prayer you are required to say.