To "cksh", you seem to have the BEEE degree mixed up with the BSEET degree.
The "2+2" curriculum is for the BSEET degree. The BEEE is a 4-4.5 year curriculum. Then an MS is the next step w/o the need for any make-up courses.
A BEEE is slightly stronger than a BSEE, but the difference is pretty slim. Either the BSEE or BEEE is a full engineering degree, which directly goes straight into grad school for the MSEE.
The 2+2 program starts with an AASEET for 2 years. Then 2 more years results in the BSEET. To go further requires courses in a full EE curriculum.
The reason job descriptions specifically call for a BSEE instead of BEEE, is because the BSEE is the more common curriculum. If a job requires a BSEE at minimum, the BEEE slightly exceeds the requirement. Hoever, a BSEET is considerably less, since the math & science in the BSEET program is much less intense.
If you already have an AASEET (associate's degree), you have 2 options. Continuing in the same curriculum for 2 more years will produce a BSEET, not a BEEE. To get a BSEE or BEEE would require many more courses. You would have to take the stronger physics, calculus, as well as thermodynamics, statics, dynamics, strength of materials, e/m fields, controls, etc.
I hope this clears things up. BR.
Claude